Solve for x x+4(x+5)=40

$x + 4 (x + 5) = 40$

Step 1

Simplify $x + 4 (x + 5)$ .

Simplify each term.

Apply the distributive property.

$x + 4 x + 4 \cdot 5 = 40$

Multiply $4$ by $5$ .

$x + 4 x + 20 = 40$

Add $x$ and $4 x$ .

$5 x + 20 = 40$

Step 2

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

Subtract $20$ from both sides of the equation.

$5 x = 40 - 20$

Subtract $20$ from $40$ .

$5 x = 20$

Step 3

Divide each term in $5 x = 20$ by $5$ and simplify.

Divide each term in $5 x = 20$ by $5$ .

$\frac{5 x}{5} = \frac{20}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{20}{5}$

Divide $x$ by $1$ .

$x = \frac{20}{5}$

Simplify the right side.

Divide $20$ by $5$ .

$x = 4$