Question

M/J GRADE 8 PRE-ALG-037112050705102

<
3-3: MathXL for School: Practice & Problem Solvin
Use the Distributive Property to solve the equation.
2x-5(x-4)= -8+5x-36
The solution of the equation is
(Type the value of x.)

Answer 1

To solve the equation using the Distributive Property, distribute the -5 to both terms inside the parentheses. Combine like terms and move the variable terms to one side and the constant terms to the other side. Finally, solve for x.

Step-by-step explanation:

To solve the equation using the Distributive Property, we need to distribute the -5 to both terms inside the parentheses:

2x - 5(x) + 5(4) = -8 + 5x - 36

2x - 5x + 20 = -8 + 5x - 36

-3x + 20 = -8 + 5x - 36

Combine like terms:

-3x + 20 = -44 + 5x

Move the variable terms to one side and the constant terms to the other side:

-3x - 5x = -44 - 20

-8x = -64

Divide both sides by -8:

x = (-64)/(-8)

x = 8

Learn more about Solving equations using the Distributive Property