Question

Solve the problem
( Show your work )

2x + 10 =- 4x – 9

Answer 1

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

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.