Solve for x 12x-7+5x=8(2x+1)+x-8

$12 x - 7 + 5 x = 8 (2 x + 1) + x - 8$

Step 1

Add $12 x$ and $5 x$ .

$17 x - 7 = 8 (2 x + 1) + x - 8$

Step 2

Simplify $8 (2 x + 1) + x - 8$ .

Simplify each term.

Apply the distributive property.

$17 x - 7 = 8 (2 x) + 8 \cdot 1 + x - 8$

Multiply $2$ by $8$ .

$17 x - 7 = 16 x + 8 \cdot 1 + x - 8$

Multiply $8$ by $1$ .

$17 x - 7 = 16 x + 8 + x - 8$

Simplify by adding terms.

Combine the opposite terms in $16 x + 8 + x - 8$ .

Subtract $8$ from $8$ .

$17 x - 7 = 16 x + x + 0$

Add $16 x + x$ and $0$ .

$17 x - 7 = 16 x + x$

Add $16 x$ and $x$ .

$17 x - 7 = 17 x$

Step 3

Move all terms containing $x$ to the left side of the equation.

Subtract $17 x$ from both sides of the equation.

$17 x - 7 - 17 x = 0$

Combine the opposite terms in $17 x - 7 - 17 x$ .

Subtract $17 x$ from $17 x$ .

$0 - 7 = 0$

Subtract $7$ from $0$ .

$- 7 = 0$

Step 4

Since $- 7 \neq 0$ , there are no solutions.

No solution