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

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

Simplify $6 (x - 6)$ .

Start simplifying.

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

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply $6$ by $- 6$ .

$6 x - 36 = 2 (6 + 3 x)$

Simplify $2 (6 + 3 x)$ .

Apply the distributive property.

$6 x - 36 = 2 \cdot 6 + 2 (3 x)$

Multiply.

Multiply $2$ by $6$ .

$6 x - 36 = 12 + 2 (3 x)$

Multiply $3$ by $2$ .

$6 x - 36 = 12 + 6 x$

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

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

$6 x - 36 - 6 x = 12$

Combine the opposite terms in $6 x - 36 - 6 x$ .

Subtract $6 x$ from $6 x$ .

$0 - 36 = 12$

Subtract $36$ from $0$ .

$- 36 = 12$

Since $- 36 \neq 12$ , there are no solutions.

No solution