Solve for w 5(w-1)-2=5w+7

$5 (w - 1) - 2 = 5 w + 7$

Simplify $5 (w - 1) - 2$ .

Simplify each term.

Apply the distributive property.

$5 w + 5 \cdot - 1 - 2 = 5 w + 7$

Multiply $5$ by $- 1$ .

$5 w - 5 - 2 = 5 w + 7$

Subtract $2$ from $- 5$ .

$5 w - 7 = 5 w + 7$

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

Subtract $5 w$ from both sides of the equation.

$5 w - 7 - 5 w = 7$

Combine the opposite terms in $5 w - 7 - 5 w$ .

Subtract $5 w$ from $5 w$ .

$0 - 7 = 7$

Subtract $7$ from $0$ .

$- 7 = 7$

Since $- 7 \neq 7$ , there are no solutions.

No solution