Solve the equation for x.
12x + 20 = 5x - 10 - 3x

x = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

12x + 20 = 5x - 10 - 3x

Step 2: Solve for x

Combine like terms:                    12x + 20 = 2x - 10Subtract 2x on both sides:          10x + 20 = -10Subtract 20 on both sides:         10x = -30Divide 10 on both sides:              x = -3

Step 3: Check

Plug in x into the original equation to verify it is a solution.

Substitute in x:                   12(-3) + 20 = 5(-3) - 10 - 3(-3)Multiply:                              -36 + 20 = -15 - 10 + 9Add:                                    -16 = -15 - 1Subtract:                             -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = -3 is a solution of the equation.

The answer is option c.