Question

Solve the following equation: 3(3x−8)+4x = −2(12 −7x)−x

A. No solution
B. x = 13
C. All Real Numbers
D. x = 2

Answer 1

3(3x - 8) + 4x = -2(12 - 7x) - x

9x - 24 + 4x = -24 + 14x - x distributed 3 on the left and -2 on the right

- 24 + 13x = -24 + 13x added like terms on the left and the right

-13x -13x

-24 = -24

TRUE

A true statement means infinitely many solutions (aka All Real Numbers)

Answer: C