Question

Solve:6x+2=2(x+4)-2
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Answer 1

x = 1

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

6x + 2 = 2(x + 4) - 2

Step 2: Solve for x

1. Distribute 2: 6x + 2 = 2x + 8 - 2
2. Combine like terms: 6x + 2 = 2x + 6
3. Subtract 2x on both sides: 4x + 2 = 6
4. Subtract 2 on both sides; 4x = 4
5. Divide 4 on both sides: x = 1

Step 3: Check

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

1. Substitute in x: 6(1) + 2 = 2(1 + 4) - 2
2. Multiply: 6 + 2 = 2(1 + 4) - 2
3. Add: 8 = 2(5) - 2
4. Multiply: 8 = 10 - 2
5. Subtract: 8 = 8

Here we see that 8 does indeed equal 8.

∴ x = 1 is the solution to the equation.