Solve for x 4(x-2)-3x=2(x-6)

$4 (x - 2) - 3 x = 2 (x - 6)$

Step 1

Simplify $4 (x - 2) - 3 x$ .

Simplify each term.

Apply the distributive property.

$4 x + 4 \cdot - 2 - 3 x = 2 (x - 6)$

Multiply $4$ by $- 2$ .

$4 x - 8 - 3 x = 2 (x - 6)$

Subtract $3 x$ from $4 x$ .

$x - 8 = 2 (x - 6)$

Step 2

Simplify $2 (x - 6)$ .

Apply the distributive property.

$x - 8 = 2 x + 2 \cdot - 6$

Multiply $2$ by $- 6$ .

$x - 8 = 2 x - 12$

Step 3

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

Subtract $2 x$ from both sides of the equation.

$x - 8 - 2 x = - 12$

Subtract $2 x$ from $x$ .

$- x - 8 = - 12$

Step 4

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

Add $8$ to both sides of the equation.

$- x = - 12 + 8$

Add $- 12$ and $8$ .

$- x = - 4$

Step 5

Divide each term in $- x = - 4$ by $- 1$ and simplify.

Divide each term in $- x = - 4$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 4}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 4}{- 1}$

Simplify the right side.

Divide $- 4$ by $- 1$ .

$x = 4$