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

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

Step 1

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

Rewrite.

$0 + 0 - 2 (3 x - 4) = 2 x$

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply.

Multiply $3$ by $- 2$ .

$- 6 x - 2 \cdot - 4 = 2 x$

Multiply $- 2$ by $- 4$ .

$- 6 x + 8 = 2 x$

Step 2

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

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

$- 6 x + 8 - 2 x = 0$

Subtract $2 x$ from $- 6 x$ .

$- 8 x + 8 = 0$

Step 3

Subtract $8$ from both sides of the equation.

$- 8 x = - 8$

Step 4

Divide each term in $- 8 x = - 8$ by $- 8$ and simplify.

Divide each term in $- 8 x = - 8$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 8}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 8}{- 8}$

Divide $x$ by $1$ .

$x = \frac{- 8}{- 8}$

Simplify the right side.

Divide $- 8$ by $- 8$ .

$x = 1$