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

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

Step 1

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

Simplify each term.

Apply the distributive property.

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

Multiply $- 3$ by $3$ .

$- 9 - 3 x + 4 (x - 6) = - 4$

Apply the distributive property.

$- 9 - 3 x + 4 x + 4 \cdot - 6 = - 4$

Multiply $4$ by $- 6$ .

$- 9 - 3 x + 4 x - 24 = - 4$

Simplify by adding terms.

Subtract $24$ from $- 9$ .

$- 3 x + 4 x - 33 = - 4$

Add $- 3 x$ and $4 x$ .

$x - 33 = - 4$

Step 2

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

Add $33$ to both sides of the equation.

$x = - 4 + 33$

Add $- 4$ and $33$ .

$x = 29$