Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Explanation:
Step 1: Define Equation
7x + 2 = 4x + 11
Step 2: Solve for x
- Subtract 4x on both sides: 3x + 2 = 11
- Subtract 2 on both sides: 3x = 9
- Divide 3 on both sides: x = 3
Step 3: Check
Plug in x into the original equation to verify it's a solution.
- Substitute in x: 7(3) + 2 = 4(3) + 11
- Multiply: 21 + 2 = 12 + 11
- Add: 23 = 23
Here we see that 23 does indeed equal 23.
∴ x = 3 is the solution to the equation.