Question

The value of x for which 3 (x-2) = 2 (x+1)​

Answer 1

x = 8

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

3(x - 2) = 2(x + 1)

Step 2: Solve for x

1. Distribute: 3x - 6 = 2x + 2
2. Subtract 2x on both sides: x - 6 = 2
3. Add 6 to both sides: x = 8

Step 3: Check

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

1. Substitute in x: 3(8 - 2) = 2(8 + 1)
2. Subtract/Add: 3(6) = 2(9)
3. Multiply: 18 = 18

Here we see that 18 does indeed equal 18.

∴ x = 8 is a solution to the equation.