i have no clue!?

Question

solve: 7x + 0.125 = 6x - 0.289

9x - 2(3x - 0.124) = 2x + 0.965

is this one solved the same? i need someone to explain so i understand please.

Answer 1

ok so you combine like terms
you bring the 6x over to the left side of the equal sign
and bring the 0.125 over to the right side
when you bring something to the other side of the equal sign, it changes signs:
7x - 6x = - 0.289 - 0.125
so we get:
x = - 0.414
and thats the answer

yes the other equation is solved in the same way
except you have to distribute first
9x - 2(3x - 0.124) = 2x + 0.965
you have to multiply everything in the parentheses by 2
so we have:
9x - 6x + 0.248 = 2x + 0.965
(when you multiply 2 negatives you get a positive)
so now we combine the x's again and put them on one side
and then put the normal numbers on the other side
hope this helps!

Answer 2

The RULE for equations is that whatever you do to one side you must do to the other. If you don't it's no longer EQUAL, don't you know.
The corallary is that when you do the same thing to both sides of an equation you are left with an equation. (not the SAME equation but still an equation)
Word.
Examples
1+1 = 2 and 1+1+100 = 2 + 100
2+3 = 6 - 1 and 17* (2+3) = (17*6) - 17 {both sides x 17}
but NOT 2-1 = 3-2 and 4*2 - 1 = 4*3 - 2 <- not a valid eqn.
So you have to remember to do it to the whole side, not just part.
subtract 0.125 to both sides to "move" the 0.125 over to the right
OR
add 0.289 to both sides to "move" it over to the left.
I would "move" the 0.125 since the next step I have to choose between "moving" the 7x or the 6x and I want to move the 6x to keep the result positive (7x-6x) and not (6x-7x)
So subtract 0.125 from both sides
7x+.125-.125 = 6x -.289 -.125
or
7x = 6x - 0.414
now subtract 6x from both sides
7x -6x = 6x - 0.414 - 6x
or
x = -0.414
and we're done.
OK?

P.S.

10 > 1 right?
multiply both sides by -1
-10 > -1
right ??? NO!! -10 is smaller than -1!! the RULE doesnt work for inequalities!! like < (less than) or > (greater than)
{Specifically it doesn't work for inequalities and multiplication or division of negative numbers} Try it with + numbers and addition or subtraction...

Answer 3

There is a set way to solve equations, and you have to follow the rules. For these two problems, the rules are:
(1) you remove ( ) by doing the indicated multiplication.
(2) you collect like terms together, first on each side of the equation, and then by transferrring terms to one side. The like terms you have are terms with x and constants.
(3) once you have only one term with x and one term of a constant, you solve the equation.

In the first problem, you have an x term and a constant on both sides of the equation. So you transfer an x-term, so both are on one side, and transfer a constant, so both are on the other side. You can choose which way to go. I prefer to move the 6x to the left side. So subtract 6x from both sides. Also, subtract 0.125 from both sides. You then have 7x-6x = -0.289 - 0.125
Doing the calculations, 1x = -0.414

In problem 2, you have a term in ( ). This must be taken care of first. Doing the math, we have
9x - 6x + 0.248 = 2x + 0.965
Again, all x terms are moved to one side and constants to the other. You should be able to do that.

Answer 4

7x + 0.125 = 6x - 0.289
First step is to get the x terms on the same side.
Subtract 6x from both sides to get-
1x + 0.125 = -0.289
Now subtract 0.125 from both sides to get-
1x = -0.414
x=-0.414

9x -2(3x-0.124) = 2x + 0.965
First multiply 3x-0.124 by 2 to eliminate the parentheses-
9x - 6x + 0.248 = 2x + 0.965
3x + 0.248 = 2x + 0.965
1x = 0.717
x = 0.717

Answer 5

The objective in solving any linear equation in one variable is to isolate x. That is what we shall do.

Answer 1:
7x + 0.125 = 6x - 0.289
x + 0.125 = -0.289 (Subtracting 6x from both sides)
x = -0.414 (Subtracting 0.125 from both sides to isolate x)

Answer 2:
9x - 2(3x - 0.124) = 2x + 0.965
9x - 6x + 0.248 = 2x + 0.965
3x + 0.248 = 2x + 0.965
x + 0.248 = 0.965 (Subtracting 2x from both sides)
x = 0.717 (Subtracting 0.248 from both sides to isolate x)

Answer 6

Firstly, move your x terms to one side. You can do this by subtracting 0.125 from both sides.

7x + 0.125 = 6x - 0.289
7x = 6x - 0.414

Now, subtracting 6x from both sides.

x = -0.414

The second problem is solved through similar means, however, you must distribute first, combine like terms, then isolate x.

Answer 7

For the former equation, the steps I used were these: 7x+0.125=6x-0.289 (original statement); 7x+0.125-6x=-0.289 (subtraction property of equality); 7x-6x=-0.125-0.289 (subtraction property of equality); x=-0.125-0.289 (combination of like terms); x=-0.414 OR x=-207/500 (further combination of like terms). For the latter equation, the steps I used were these: 9x-2(3x-0.124)=2x+0.965 (original statement); 9x-6x-0.248=2x+0.965 (distributive property [distribution of 2 into (3x-0.124)]); 3x-0.248=2x+0.965 (combination of like terms); 3x=2x+0.965+0.248 (addition property of equality); 3x-2x=0.965+0.248 (subtraction property of equality); x=0.965+0.248 (combination of like terms); x=1.213 (combination of like terms).