How do you solve 2/3x+3=x-2?

2 Answers
Mar 11, 2018

x=15

Explanation:

First let's get all like-terms on the same sides.
To do so, we can subtract 3 from both sides and subtract x from both sides as well.

2/3x+3-3-x=x-2-3-x

Simplify:
2/3x-x=-2-3

Now we can combine like-terms:
-1/3x=-5

In order to isolate x, multiply by -3 on both sides:
-3*-1/3x=-5*-3

Simplify:
x=15

Mar 11, 2018

x=15

Explanation:

So the first thing you would want to do is to move the 2/3x over to the right side of the equation, making it -2/3x.

Subtract x-2/3x. Since the is no coefficient, x means #3/3x, so

x-2/3x = 1/3x

Now move the whole number -2 to the left side, making it

3 + 2 = 5

Multiply both sides by 3 to get x alone.

x=15