Question

What is x? -4(x+2)=4(2-2x)

Answer 1

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Explanation:

Step 1: Define Equation

-4(x + 2) = 4(2 - 2x)

Step 2: Solve for x

1. Divide -4 on both sides: -(x + 2) = 2 - 2x
2. Distribute negative: -x - 2 = 2 - 2x
3. Add 2x on both sides: x - 2 = 2
4. Add 2 on both sides: x = 4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x: -4(4 + 2) = 4(2 - 2(4))
2. Multiply: -4(4 + 2) = 4(2 - 8)
3. Add/Subtract: -4(6) = 4(-6)
4. Multiply: -24 = -24

Here we see that -24 does equal -24.

∴ x = 4 is the solution to the equation.