Solve for x -3(6-x)+4=4-5(x+2)

$- 3 (6 - x) + 4 = 4 - 5 (x + 2)$

Simplify $- 3 (6 - x) + 4$ .

Simplify each term.

Apply the distributive property.

$- 3 \cdot 6 - 3 (- x) + 4 = 4 - 5 (x + 2)$

Multiply $- 3$ by $6$ .

$- 18 - 3 (- x) + 4 = 4 - 5 (x + 2)$

Multiply $- 1$ by $- 3$ .

$- 18 + 3 x + 4 = 4 - 5 (x + 2)$

Add $- 18$ and $4$ .

$3 x - 14 = 4 - 5 (x + 2)$

Simplify $4 - 5 (x + 2)$ .

Simplify each term.

Apply the distributive property.

$3 x - 14 = 4 - 5 x - 5 \cdot 2$

Multiply $- 5$ by $2$ .

$3 x - 14 = 4 - 5 x - 10$

Subtract $10$ from $4$ .

$3 x - 14 = - 5 x - 6$

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

Add $5 x$ to both sides of the equation.

$3 x - 14 + 5 x = - 6$

Add $3 x$ and $5 x$ .

$8 x - 14 = - 6$

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

Add $14$ to both sides of the equation.

$8 x = - 6 + 14$

Add $- 6$ and $14$ .

$8 x = 8$

Divide each term in $8 x = 8$ by $8$ and simplify.

Divide each term in $8 x = 8$ by $8$ .

$\frac{8 x}{8} = \frac{8}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{8}{8}$

Divide $x$ by $1$ .

$x = \frac{8}{8}$

Simplify the right side.

Divide $8$ by $8$ .

$x = 1$