Solve the problem
( Show your work )

2x + 10 =- 4x – 9

x = -19/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2x + 10 = -4x - 9

Step 2: Solve for x

Add 4x on both sides:                    6x + 10 = -9Subtract 10 on both sides:             6x = -19Divide 6 on both sides:                  x = -19/6

Step 3: Check

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

Substitute in x:                    2(-19/6) + 10 = -4(-19/6) - 9Multiply:                               -19/3 + 10 = 38/3 - 9Add/Subtract:                      11/3 = 11/3

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.