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

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

Step 1

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

Simplify each term.

Apply the distributive property.

$x + 4 x + 4 \cdot - 5 = 4 (x - 2)$

Multiply $4$ by $- 5$ .

$x + 4 x - 20 = 4 (x - 2)$

Add $x$ and $4 x$ .

$5 x - 20 = 4 (x - 2)$

Step 2

Simplify $4 (x - 2)$ .

Apply the distributive property.

$5 x - 20 = 4 x + 4 \cdot - 2$

Multiply $4$ by $- 2$ .

$5 x - 20 = 4 x - 8$

Step 3

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

Subtract $4 x$ from both sides of the equation.

$5 x - 20 - 4 x = - 8$

Subtract $4 x$ from $5 x$ .

$x - 20 = - 8$

Step 4

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

Add $20$ to both sides of the equation.

$x = - 8 + 20$

Add $- 8$ and $20$ .

$x = 12$