Solve for x 22=5x-4(x+7)

$22 = 5 x - 4 (x + 7)$

Rewrite the equation as $5 x - 4 (x + 7) = 22$ .

$5 x - 4 (x + 7) = 22$

Simplify $5 x - 4 (x + 7)$ .

Simplify each term.

Apply the distributive property.

$5 x - 4 x - 4 \cdot 7 = 22$

Multiply $- 4$ by $7$ .

$5 x - 4 x - 28 = 22$

Subtract $4 x$ from $5 x$ .

$x - 28 = 22$

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

Add $28$ to both sides of the equation.

$x = 22 + 28$

Add $22$ and $28$ .

$x = 50$