Solve for x 2(2x-1)+2x=6(x-1)

$2 (2 x - 1) + 2 x = 6 (x - 1)$

Step 1

Simplify $2 (2 x - 1) + 2 x$ .

Simplify each term.

Apply the distributive property.

$2 (2 x) + 2 \cdot - 1 + 2 x = 6 (x - 1)$

Multiply $2$ by $2$ .

$4 x + 2 \cdot - 1 + 2 x = 6 (x - 1)$

Multiply $2$ by $- 1$ .

$4 x - 2 + 2 x = 6 (x - 1)$

Add $4 x$ and $2 x$ .

$6 x - 2 = 6 (x - 1)$

Step 2

Simplify $6 (x - 1)$ .

Apply the distributive property.

$6 x - 2 = 6 x + 6 \cdot - 1$

Multiply $6$ by $- 1$ .

$6 x - 2 = 6 x - 6$

Step 3

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

Subtract $6 x$ from both sides of the equation.

$6 x - 2 - 6 x = - 6$

Combine the opposite terms in $6 x - 2 - 6 x$ .

Subtract $6 x$ from $6 x$ .

$0 - 2 = - 6$

Subtract $2$ from $0$ .

$- 2 = - 6$

Step 4

Since $- 2 \neq - 6$ , there are no solutions.

No solution