Question

Solve 2(x/4+8)=18
you may use the flowchart to help you if you wish

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Explanation:

Step 1: Define

2(x/4 + 8) = 18

Step 2: Solve for x

1. Divide 2 on both sides: x/4 + 8 = 9
2. Subtract 8 on both sides: x/4 = 1
3. Multiply 4 on both sides: x = 4

Step 3: Check

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

1. Substitute in x: 2(4/4 + 8) = 18
2. (Parenthesis) Divide: 2(1 + 8) = 18
3. (Parenthesis) Add: 2(9) = 18
4. Multiply: 18 = 18

Here we see that 18 does indeed equal 18.

∴ x = 4 is the solution to the equation.