Question

1. what is the solution, if any, to the equation $3(x - 2) + 4 = 3x + 6$?

a. $x = 0$
b. $x = 8$
c. there is no solution.
d. there are an infinite number of solutions.

Explanation:

Step1: Expand left-hand side

$3(x-2)+4 = 3x - 6 + 4$

Step2: Simplify left-hand side

$3x - 6 + 4 = 3x - 2$

Step3: Set equal & isolate terms

$3x - 2 = 3x + 6$
Subtract $3x$ from both sides: $-2 = 6$

Answer:

C. There is no solution.