Question

7(2x-5)=21

What is x?

Answer 1

x = 4

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

7(2x - 5) = 21

Step 2: Solve for x

1. Distribute 7: 2x - 5 = 3
2. Isolate x term: 2x = 8
3. Isolate x: x = 4

Step 3: Check

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

1. Substitute in x: 7(2(4) - 5) = 21
2. Multiply: 7(8 - 5) = 21
3. Subtract: 7(3) = 21
4. Multiply: 21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 4 is the solution to the equation.