Question

1. Solve forx:
5(x - 8) + 7 = 2

Answer 1

Answer: x=7

Explanation:

(5x-40)+7 = 2

5x-33 = 2

5x = 35

x = 35/5

x = 7

Answer 2

x = 7

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
• Subtract Property of Equality

Explanation:

Step 1: Define

5(x - 8) + 7 = 2

Step 2: Solve for x

1. Subtract 7 on both sides: 5(x - 8) = -5
2. Divide 5 on both sides: x - 8 = -1
3. Add 8 on both sides: x = 7

Step 3: Check

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

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

Here we see that 2 does indeed equal 2.

∴ x = 7 is the solution to the equation.