Question

Please help me. Solve for x state the properties used. 5(x - 2) - 6 = 24

Answer 1

x = 8

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

5(x - 2) - 6 = 24

Step 2: Solve for x

1. Add 6 to both sides: 5(x - 2) = 30
2. Divide 5 on both sides: x - 2 = 6
3. Add 2 to both sides: x = 8

Step 3: Check

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

1. Substitute in x: 5(8 - 2) - 6 = 24
2. Subtract: 5(6) - 6 = 24
3. Multiply: 30 - 6 = 24
4. Subtract: 24 = 24

Here we see that 24 does indeed equal 24.

∴ x = 8 is the solution to the equation.