Solve for w 4(w-6)=3(w+1)

$4 (w - 6) = 3 (w + 1)$

Step 1

Simplify $4 (w - 6)$ .

Rewrite.

$0 + 0 + 4 (w - 6) = 3 (w + 1)$

Simplify by adding zeros.

$4 (w - 6) = 3 (w + 1)$

Apply the distributive property.

$4 w + 4 \cdot - 6 = 3 (w + 1)$

Multiply $4$ by $- 6$ .

$4 w - 24 = 3 (w + 1)$

Step 2

Simplify $3 (w + 1)$ .

Apply the distributive property.

$4 w - 24 = 3 w + 3 \cdot 1$

Multiply $3$ by $1$ .

$4 w - 24 = 3 w + 3$

Step 3

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

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

$4 w - 24 - 3 w = 3$

Subtract $3 w$ from $4 w$ .

$w - 24 = 3$

Step 4

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

Add $24$ to both sides of the equation.

$w = 3 + 24$

Add $3$ and $24$ .

$w = 27$