Solve for x -12+6x=6+5(x-2)

$- 12 + 6 x = 6 + 5 (x - 2)$

Step 1

Simplify $6 + 5 (x - 2)$ .

Simplify each term.

Apply the distributive property.

$- 12 + 6 x = 6 + 5 x + 5 \cdot - 2$

Multiply $5$ by $- 2$ .

$- 12 + 6 x = 6 + 5 x - 10$

Subtract $10$ from $6$ .

$- 12 + 6 x = 5 x - 4$

Step 2

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

Subtract $5 x$ from both sides of the equation.

$- 12 + 6 x - 5 x = - 4$

Subtract $5 x$ from $6 x$ .

$- 12 + x = - 4$

Step 3

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

Add $12$ to both sides of the equation.

$x = - 4 + 12$

Add $- 4$ and $12$ .

$x = 8$