Solve for x -2(6+x)=18-3x

$- 2 (6 + x) = 18 - 3 x$

Step 1

Simplify $- 2 (6 + x)$ .

Rewrite.

$0 + 0 - 2 (6 + x) = 18 - 3 x$

Simplify by adding zeros.

$- 2 (6 + x) = 18 - 3 x$

Apply the distributive property.

$- 2 \cdot 6 - 2 x = 18 - 3 x$

Multiply $- 2$ by $6$ .

$- 12 - 2 x = 18 - 3 x$

Step 2

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

Add $3 x$ to both sides of the equation.

$- 12 - 2 x + 3 x = 18$

Add $- 2 x$ and $3 x$ .

$- 12 + x = 18$

Step 3

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

Add $12$ to both sides of the equation.

$x = 18 + 12$

Add $18$ and $12$ .

$x = 30$