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>
-4(x + 2) = 4(2 - 2x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide -4 on both sides: -(x + 2) = 2 - 2x
- Distribute negative: -x - 2 = 2 - 2x
- Add 2x on both sides: x - 2 = 2
- Add 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>: -4(4 + 2) = 4(2 - 2(4))
- Multiply: -4(4 + 2) = 4(2 - 8)
- Add/Subtract: -4(6) = 4(-6)
- Multiply: -24 = -24
Here we see that -24 does equal -24.
∴ x = 4 is the solution to the equation.