Solve for w 6w-4=2(3w+6)

$6 w - 4 = 2 (3 w + 6)$

Step 1

Simplify $2 (3 w + 6)$ .

Rewrite.

$6 w - 4 = 0 + 0 + 2 (3 w + 6)$

Simplify by adding zeros.

$6 w - 4 = 2 (3 w + 6)$

Apply the distributive property.

$6 w - 4 = 2 (3 w) + 2 \cdot 6$

Multiply.

Multiply $3$ by $2$ .

$6 w - 4 = 6 w + 2 \cdot 6$

Multiply $2$ by $6$ .

$6 w - 4 = 6 w + 12$

Step 2

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

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

$6 w - 4 - 6 w = 12$

Combine the opposite terms in $6 w - 4 - 6 w$ .

Subtract $6 w$ from $6 w$ .

$0 - 4 = 12$

Subtract $4$ from $0$ .

$- 4 = 12$

Step 3

Since $- 4 \neq 12$ , there are no solutions.

No solution