What is the value of x in this equation?

2x – 12 = -52

x = -20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

2x - 12 = -52

Step 2: Solve for x

Add 12 on both sides:                     2x = -40Divide 2 on both sides:                   x = -20

Step 3: Check

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

Substitute in x:                      2(-20) - 12 = -52Multiply:                                 -40 - 12 = -52Subtract:                                -52 = -52

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

-20 is the right answer.