Question

2x + 10 + 3x = 7x + 12

Answer 1

First, get all common variables (x and integers in this case) onto the same side.
2x + 3x - 7x = 12 - 10
-2x = 2
x = -2/2
x = -1

Answer 2

x = -1

Explanation:

`2x+10+3x=7x+12\qquad\text{combine like terms}\\\\(2x+3x)+10=7x+12\\\\5x+10=7x+12\qquad\text{subtract 10 from both sides}\\\\5x+10-10=7x+12-10\\\\5x=7x+2\qquad\text{subtract}\ 7x\ \text{from both sides}\\\\5x-7x=7x-7x+2\\\\-2x=2\qquad\text{divide both sides by (-2)}\\\\(-2x)/(-2)=(2)/(-2)\\\\x=-1`