Solve for x (x-4)/(y+2)=5

$\frac{x - 4}{y + 2} = 5$

Step 1

Multiply both sides by $y + 2$ .

$\frac{x - 4}{y + 2} (y + 2) = 5 (y + 2)$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $y + 2$ .

Cancel the common factor.

$\frac{x - 4}{y + 2} (y + 2) = 5 (y + 2)$

Rewrite the expression.

$x - 4 = 5 (y + 2)$

Simplify the right side.

Simplify $5 (y + 2)$ .

Apply the distributive property.

$x - 4 = 5 y + 5 \cdot 2$

Multiply $5$ by $2$ .

$x - 4 = 5 y + 10$

Step 3

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

Add $4$ to both sides of the equation.

$x = 5 y + 10 + 4$

Add $10$ and $4$ .

$x = 5 y + 14$