Question

Solve the problem ( Show your work ) 2x + 10 =- 4x – 9

Answer 1

Answer:

x = -19/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2x + 10 = -4x - 9

Step 2: Solve for x

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

Step 3: Check

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

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