Question

What is the value of x if 2x-41=13

Answer 1

x = 27

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

2x - 41 = 13

Step 2: Solve for x

1. [Addition Property of Equality] Add 41 on both sides: 2x = 54
2. [Division Property of Equality] Divide 2 on both sides: x = 27

Step 3: Check

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

1. Substitute in x: 2(27) - 41 = 13
2. Multiply: 54 - 41 = 13
3. Subtract: 13 = 13

Here we see that 13 does indeed equal 13.

∴ x = 27 is the solution to the equation.