Question

Solve:6x+2=2(x+4)-2 happy holidays!

Answer 1

Answer:

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

Step-by-step 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.