Question

Solve for x: 12+2x-3+3x=17+x

Answer 1

`$x = 2$`

Explanation:

`12+2x-3+3x=17+x \\ 9 + 5x = 17 + x \\ 5x - x = 17 - 9 \\ 4x = 8 \\ x = (8)/(4) \\ x = 2`

Answer 2

x = 2

Explanation:

`12+2x-3+3x=17+x\qquad\text{combine like terms}\\\\(2x+3x)+(12-3)=17+x\\\\5x+9=17+x\qquad\text{subtract 9 from both sides}\\\\5x+9-9=17-9+x\\\\5x=8+x\qquad\text{subtract}\ x\ \text{from both sides}\\\\5x-x=8+x-x\\\\4x=8\qquad\text{divide both sides by 4}\\\\(4x)/(4)=(8)/(4)\\\\x=2`