Question

Maths question.
Solve
4(x - 1) = 2(6 - 2x)

Answer 1

Use distributive property
4x - 4 = 12 - 4x
8x = 16
X = 2

Answer 2

x = 2

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

4(x - 1) = 2(6 - 2x)

Step 2: Solve for x

1. Distribute: 4x - 4 = 12 - 4x
2. Add 4x on both sides: 8x - 4 = 12
3. Add 4 to both sides: 8x = 16
4. Divide 8 on both sides: x = 2

Step 3: Check

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

1. Substitute in x: 4(2 - 1) = 2(6 - 2(2))
2. Multiply: 4(2 - 1) = 2(6 - 4)
3. Subtract: 4(1) = 2(2)
4. Multiply: 4 = 4

Here we see that 4 does indeed equal 4.

∴ x = 2 is a solution of the equation.