Answer:
x = 4
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>
2(5x + 6) = 4(2x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 10x + 12 = 8x + 20
- Subtract 8x on both sides: 2x + 12 = 20
- Subtract 12 on both sides: 2x = 8
- Divide 2 on both sides: x = 4
<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>: 2(5(4) + 6) = 4(2(4) + 5)
- Multiply: 2(20 + 6) = 4(8 + 5)
- Add: 2(26) = 4(13)
- Multiply: 52 = 52
Here we see that 52 does indeed equal 52.
∴ x = 4 is a solution of the equation.