Question

6x +6 = -10 + 8x
please solve it fast

Answer 1

x = 8

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
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

6x + 6 = -10 + 8x

Step 2: Solve for x

1. [Subtraction Property of Equality] Subtract 6x on both sides: 6 = -10 + 2x
2. [Addition Property of Equality] Add 10 on both sides: 16 = 2x
3. [Division Property of Equality] Divide 2 on both sides: 8 = x
4. Rearrange/Rewrite: x = 8

Step 3: Check

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

1. Substitute in x: 6(8) + 6 = -10 + 8(8)
2. Multiply: 48 + 6 = -10 + 64
3. Add: 54 = -10 + 64
4. Add: 54 = 54

Here we see that 54 does indeed equal 54.

∴ x = 8 is the solution to the equation.