Solve for x -3(x+4)+15=6-4x

$- 3 (x + 4) + 15 = 6 - 4 x$

Simplify $- 3 (x + 4) + 15$ .

Simplify each term.

Apply the distributive property.

$- 3 x - 3 \cdot 4 + 15 = 6 - 4 x$

Multiply $- 3$ by $4$ .

$- 3 x - 12 + 15 = 6 - 4 x$

Add $- 12$ and $15$ .

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

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

Add $4 x$ to both sides of the equation.

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

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

$x + 3 = 6$

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

Subtract $3$ from both sides of the equation.

$x = 6 - 3$

Subtract $3$ from $6$ .

$x = 3$