Question

Which of the following is(are) the solution(s) to | X+10 | = 3x-2?

Answer 1

x = { 3, -2 }

Explanation:

Let's actually find the solutions to | X+10 | = 3x - 2. Because of the absolute value operator this breaks down into two simpler problems:

1) x + 10 = 3x - 2, or 12 = 4x. Then x = 3

2) -(x + 10) = 3x - 2, or -x - 10 = 3x - 2, or -8 = 4x. Then x = -2

Answer 2

x = 6

Explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.