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

$3 x = 2 (x - 1)$

Simplify $2 (x - 1)$ .

Apply the distributive property.

$3 x = 2 x + 2 \cdot - 1$

Multiply $2$ by $- 1$ .

$3 x = 2 x - 2$

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

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

$3 x - 2 x = - 2$

Subtract $2 x$ from $3 x$ .

$x = - 2$