Solve for w 4(5-w)=-2(2w-3)

$4 (5 - w) = - 2 (2 w - 3)$

Step 1

Simplify $4 (5 - w)$ .

Start simplifying.

$0 + 0 + 4 (5 - w) = - 2 (2 w - 3)$

Simplify by adding zeros.

$4 (5 - w) = - 2 (2 w - 3)$

Apply the distributive property.

$4 \cdot 5 + 4 (- w) = - 2 (2 w - 3)$

Multiply.

Multiply $4$ by $5$ .

$20 + 4 (- w) = - 2 (2 w - 3)$

Multiply $- 1$ by $4$ .

$20 - 4 w = - 2 (2 w - 3)$

Step 2

Simplify $- 2 (2 w - 3)$ .

Apply the distributive property.

$20 - 4 w = - 2 (2 w) - 2 \cdot - 3$

Multiply.

Multiply $2$ by $- 2$ .

$20 - 4 w = - 4 w - 2 \cdot - 3$

Multiply $- 2$ by $- 3$ .

$20 - 4 w = - 4 w + 6$

Step 3

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

Add $4 w$ to both sides of the equation.

$20 - 4 w + 4 w = 6$

Combine the opposite terms in $20 - 4 w + 4 w$ .

Add $- 4 w$ and $4 w$ .

$20 + 0 = 6$

Add $20$ and $0$ .

$20 = 6$

Step 4

Since $20 \neq 6$ , there are no solutions.

No solution