Solve by Factoring -8x+x+15=-7x+12

$- 8 x + x + 15 = - 7 x + 12$

Step 1

Move all the expressions to the left side of the equation.

Add $7 x$ to both sides of the equation.

$- 8 x + x + 15 + 7 x = 12$

Subtract $12$ from both sides of the equation.

$- 8 x + x + 15 + 7 x - 12 = 0$

Step 2

Simplify $- 8 x + x + 15 + 7 x - 12$ .

Add $- 8 x$ and $x$ .

$- 7 x + 15 + 7 x - 12 = 0$

Combine the opposite terms in $- 7 x + 15 + 7 x - 12$ .

Add $- 7 x$ and $7 x$ .

$0 + 15 - 12 = 0$

Add $0$ and $15$ .

$15 - 12 = 0$

Subtract $12$ from $15$ .

$3 = 0$

Step 3

Since $3 \neq 0$ , there are no solutions.

No solution