Question

Solve for x: 2/3 (x - 2) = 4x.

Answer 1

We start with 2/3(x

−

2) = 4r

Distributing the LHS: 2/3x - 4/3 = 4x

subtracting 2/3x from both sides: -4/3 = 10/3x

Multiplying both sides by 3: -4 = 10x

Dividing both sides by 10

: -4/10 = 10x

Then we come up with -2/5.

I think it's the answer anyway:/

Hope it helps.

Answer 2

x = -2/5

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

2/3(x - 2) = 4x

Step 2: Solve for x

1. Distribute 2/3: 2/3x - 4/3 = 4x
2. Subtract 2/3x on both sides: -4/3 = 10/3x
3. Divide 10/3 on both sides: -2/5 = x
4. Rewrite: x = -2/5