Look at the equation shown.

Question

-15x + 24 + 16x = 3x - 24

What is a step that can be used to transform the equation into the form x = a where a is a number, to show that the equation has one solution? Select TWO options that apply.

A. combine like terms 15x and 16x to get 31x and then subtract 31x from both sides of the equation.
B. Subtract 15x from both sides of the equation and then simplify.
C. Subtract 24 from both sides of the equation and then simplify.
D. Add 3x to both sides of the equation and then simplify.
E. Add 24 to both sides of the equation and then simplify.

Answer 1

Options C and E apply.

C. Subtract 24 from both sides of the equation and then simplify.

-15x + 24 + 16x - 24 = 3x - 24 - 24

Simplifying, we get:

-15x + 16x = 3x - 48

D. Add 24 to both sides of the equation and then simplify.

-15x + 24 + 16x + 24 = 3x - 24 + 24

Simplifying, we get:

-15x + 16x = 3x