Solve for x 2x+7-5x+8=3(5+6x)-12x

$2 x + 7 - 5 x + 8 = 3 (5 + 6 x) - 12 x$

Simplify $2 x + 7 - 5 x + 8$ .

Subtract $5 x$ from $2 x$ .

$- 3 x + 7 + 8 = 3 (5 + 6 x) - 12 x$

Add $7$ and $8$ .

$- 3 x + 15 = 3 (5 + 6 x) - 12 x$

Simplify $3 (5 + 6 x) - 12 x$ .

Simplify each term.

Apply the distributive property.

$- 3 x + 15 = 3 \cdot 5 + 3 (6 x) - 12 x$

Multiply $3$ by $5$ .

$- 3 x + 15 = 15 + 3 (6 x) - 12 x$

Multiply $6$ by $3$ .

$- 3 x + 15 = 15 + 18 x - 12 x$

Subtract $12 x$ from $18 x$ .

$- 3 x + 15 = 15 + 6 x$

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

Subtract $6 x$ from both sides of the equation.

$- 3 x + 15 - 6 x = 15$

Subtract $6 x$ from $- 3 x$ .

$- 9 x + 15 = 15$

Move all terms not containing $x$ to the right side of the equation.

Subtract $15$ from both sides of the equation.

$- 9 x = 15 - 15$

Subtract $15$ from $15$ .

$- 9 x = 0$

Divide each term in $- 9 x = 0$ by $- 9$ and simplify.

Divide each term in $- 9 x = 0$ by $- 9$ .

$\frac{- 9 x}{- 9} = \frac{0}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 x}{- 9} = \frac{0}{- 9}$

Divide $x$ by $1$ .

$x = \frac{0}{- 9}$

Simplify the right side.

Divide $0$ by $- 9$ .

$x = 0$