How do you solve 4(x-5)=44 using the distributive property?

Sep 26, 2016

$x = 16$

Explanation:

Solve: $4 \left(x - 5\right) = 44$

Distributive property: $a \left(b + c\right) = a b + a c$

$4 \left(x - 5\right) = 44$

Apply the distributive property to the left side of the equation.

$\left(4 \cdot x\right) + \left(4 \cdot - 5\right) = 44$

Simplify.

$4 x - 20 = 44$

Add $20$ to both sides.

$4 x = 44 + 20$

Simplify.

$4 x = 64$

Divide both sides by $4$.

$x = 16$