Answer:
x = 133
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Algebra I
Explanation:
Step 1: Define
6x + 4 = 5x + 17 + 120
Step 2: Solve for x
- Combine like terms: 6x + 4 = 5x + 137
- Isolate x terms: x + 4 = 137
- Isolate x: x = 133
Step 3: Check
Plug in x into the original equation to verify it's a solution.
- Substitute in x: 6(133) + 4 = 5(133) + 17 + 120
- Multiply: 798 + 4 = 665 + 17 + 120
- Add: 802 = 682 + 120
- Add: 802 = 802
Here we see that 802 does indeed equal 802.
∴ x = 133 is the solution to the equation.