how do you solve an equation with a variable on both sides!!!?

Question

here are a few problems i need step by step answers plz help me understand this


4x+4=2x+36

9y-1=y-25

14p-8=22+20p

Answer 1

This is easier than it sounds. You can subtract variables from both sides of the equation as well as regular numbers.

So in the first, for instance, if you subtract 2x from both sides of the equation, you are left with 2x + 4 = 36.

Then subtract 4 from both sides, 2x = 32, or x=16.

In the second, subtract y from both sides of the equation initially, and in the last one, the first step would be to subtract 14p from each side.

You should be able to get the rest of the solution after that.

Answer 2

If you are trying to solve for a specific variable you need to get the variables on one side. For example

4x+4=2x+36
-2x -2x Subtract 2x from both sides
2x+4=36
-4 -4 Subtract 4 from both sides
2x=32
/2 /2 Divide both sides by 2.
x = 16

There you go. The best way to think about it is to remember what they are really asking. In the example above, they want to know what the value of x is. Think about how you can isolate x by itself on one side of the equation and the other numbers on the other side.

Answer 3

bring the terms with variable to one side and solve

1) 4x + 4 = 2x + 36

subtract 2x grom both sides
4x - 2x + 4 = 2x - 2x + 36
2x + 4 = 36
subtract 4 from both sides
2x + 4 - 4 = 36 - 4
2x = 32
divide by 2
x = 32/2 = 16

2)
9y - 1 = y - 25
8y = - 24
y = -24/8 = -3

3)
14p - 8 = 22 + 20p
14 p - 20 p = 22 + 8
-6p = 30
p = -30/6 = -5

Answer 4

4x+4=2x+36 (combine like terms)
4x-2x+4-4 = 2x-2x + 36-4
2x = 32
x = 16

9y-1 = y-25
9y -1+1 = y - 25 +1
9y = y - 24
9y-y = y-y-24
8y = -24
8y/8 = -24/8
y = -3


14p - 8 = 22 + 20p ( I will add 8 to both sides and subtract 14p)

0 = 30 + 6p (subtract 6p from both sides)
-6p = 30 ( divide both sides by -6)
p = -5



9y =

Answer 5

For the first one, subtract 2x and then 4 from both sides and your equation will be 4x - 2x = 36 - 4

For the second one, subtract y from both sides and add one to both sides, giving you 9y - y = 1 + 25

Just use the same method for the third one.

Answer 6

you move the variable so it is on one side. For example with the first one, make it 4x-2x=36-4 so it becomes 2x=32 ana x=16

Answer 7

All you have to remember is that you can do something to one side, as long as you do the same to the other side to balance the equation.

eg:
4x + 4 = 2x + 36

in this case we can minus 2x from the right side as long as we minus 2x from the left side.

4x - 2x + 4 = 2x - 2x + 36

now we can minus 4 from the left side if we minus 4 from the right side.

4x - 2x +4 - 4 = 36 - 4
2x = 32

finally we can divide one side by 2, to isolate x, as long as we divide the other side by two as well.

(2x)/2 = 32/2
x = 16

The rest of the problems you posted can be solved using the same idea.

Math is fun!! Good luck :)

Answer 8

1>4x+4=2x+36

or 4x-2x=36-4=32
or 2x=32
or x=16
2>9y-1=y-25 or 9y-y=-25+1=-24 or 8y=-24 or y=-3
3>14p-8=22+20p
or 14p-20p=22+8=30
or-6p=30
or p=-5

Answer 9

In the first one, subtract 2x from both sides and then subtract 4 from both sides and see what you get.

In the second one, subtract y from both sides and add one to both sides and see what you get.

In the third one, subtract 20p from both sides and add eight to both sides and see what you get.

Are you getting the method?

Answer 10

isolate variable so it would be 2x=32 then divide x=32/2

8y=-24
y=-3

-30=6p
-5=p