please help me with this math equation!?

Question

2(x -3) - 3(x + 5) = 3(x - 2) - 7
solve for x

Answer 1

2(x -3) - 3(x + 5) = 3(x - 2) - 7
2x - 3(2) - 3x - 3(5) = 3x - 3(2) - 7
2x - 6 - 3x - 15 = 3x - 6 - 7
-x - 21 = 3x - 13
-x - 21 - 3x = 3x - 13 - 3x
-4x - 21 = -13
-4x - 21 + 21 = -13 + 21
-4x = 8
-4x / -4 = 8 / -4
x = -2

Answer 2

Well, in this equation, you have to use the distributive property quite a bit. This is the distributive property:

x(y+z)= xy+xz

So, let's look at the equation.

2(x-3)-3(x+5)= 3(x-2)-7

First, let's use the distributive property on the left side of the equation.

2(x-3)-3(x+5)

Using the distributive property gives us:

2x-6-3x-15

Simplifying the like terms and constants gives us:

-x-21

Now the left side of the equation is completely simplified, and our equation is now:

-x-21= 3(x-2)-7

Now let's use the distributive property on the right side of the equation.

3(x-2)-7

Using the distributive property gives us:

3x-6-7

Simplifying the constants gives us:

3x-13

Now the right side of the equation is completely simplified. Now our equation is:

-x-21=3x-13

Now, so we can find x, let's make it so both x terms are on one side and the constants are on the other side. So, let's move -x over to the other side of the equation and -13 to the other side of the equation. This will give us:

-21+13=x+3x

Remember that when you move a number to the other side of the equation, you have to change the sign of the number. That's why -x became x and -13 became 13.
Now let's simplify.

-8=4x

Now we need to divide by four on both sides, and that gives us the value of x:

-2=x

So, our answer is:

x=-2

There you go. I'm glad I could help. :)

Answer 3

2(x -3) - 3(x + 5) = 3(x - 2) - 7; Multiply the coefficients in.

2x - 6 - 3x - 15 = 3x - 6 - 7; Simplify.

-x - 21 = 3x - 13; Add x and 13 to both sides.

-21 + 13 = 3x + x

-8 = 4x

-2 = x

Answer 4

x= -2

Answer 5

Distribute:
2x - 6 - 3x - 15 = 3x -6 -7
Collect like terms:
-x - 21 = 3x -13
Move all x's to the right and the numbers to the right

-8 = 4x
Divide both sides by 4
x = -2

Answer 6

distribute the 2 and the -3 and the 3 so you get
2x-6-3x-15=3x-6-7
Then You get -x-21=3x-13
Then put the x's on one side and the numbers on the other and you get 4x=-8
Then you get x=-8/4=-2

Answer 7

first use distributive property:

2(x-3)=2x-6

3(x-2)= -3x-15

3(x-2)=3x-6
then put it all together:

2x-6-3x-15= 3x-6-7

combine like terms:

2x+(-3x)+3x= 2x

-6+(-15)+(-6)+(-7)= -34

so 2x= -34 to finish out the problem, divide both sides by 2 to get x by itself. then you have your final answer.

2x= -34 2x/2= x -34/2= -17

your final answer is x= -17


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Answer 8

2x - 6 -3x - 15 - 3x + 6 = -7
-4x -21 = -7
-4x - 14 = 0
-4x = 14
x = -14 / 4
x = -3.5

Answer 9

multiply it all out and move x's to one side, integers to the other and you should get -2

Answer 10

2x-6-3x-15=3x-6-7
-x-21=3x-13
-x+x-21=3x+x-13
-21=4x-13
-21+13=4x-13+13
-8=4x
-2=x