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

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

Step 1

Simplify $3 (x - 1)$ .

Rewrite.

$4 x - 1 = 0 + 0 + 3 (x - 1)$

Simplify by adding zeros.

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

Apply the distributive property.

$4 x - 1 = 3 x + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$4 x - 1 = 3 x - 3$

Step 2

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

Subtract $3 x$ from both sides of the equation.

$4 x - 1 - 3 x = - 3$

Subtract $3 x$ from $4 x$ .

$x - 1 = - 3$

Step 3

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

Add $1$ to both sides of the equation.

$x = - 3 + 1$

Add $- 3$ and $1$ .

$x = - 2$