Solve for x 3x-x+2=4(2x-1)

$3 x - x + 2 = 4 (2 x - 1)$

Subtract $x$ from $3 x$ .

$2 x + 2 = 4 (2 x - 1)$

Simplify $4 (2 x - 1)$ .

Apply the distributive property.

$2 x + 2 = 4 (2 x) + 4 \cdot - 1$

Multiply.

Multiply $2$ by $4$ .

$2 x + 2 = 8 x + 4 \cdot - 1$

Multiply $4$ by $- 1$ .

$2 x + 2 = 8 x - 4$

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

Subtract $8 x$ from both sides of the equation.

$2 x + 2 - 8 x = - 4$

Subtract $8 x$ from $2 x$ .

$- 6 x + 2 = - 4$

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

Subtract $2$ from both sides of the equation.

$- 6 x = - 4 - 2$

Subtract $2$ from $- 4$ .

$- 6 x = - 6$

Divide each term in $- 6 x = - 6$ by $- 6$ and simplify.

Divide each term in $- 6 x = - 6$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{- 6}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{- 6}{- 6}$

Divide $x$ by $1$ .

$x = \frac{- 6}{- 6}$

Simplify the right side.

Divide $- 6$ by $- 6$ .

$x = 1$