Answer:
x = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
7x + 2 = 4x + 11
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 4x on both sides: 3x + 2 = 11
- Subtract 2 on both sides: 3x = 9
- Divide 3 on both sides: x = 3
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 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.