Question

Solve 4x + 1 = 3 – 2x

Answer 1

x=1/3

Explanation:

4x+1=3-2x

Add 2x to both sides

6x+1=3

Subtract 1 on both sides

6x=2

x=2/6

Answer 2

x = 1/3

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

4x + 1 = 3 - 2x

Step 2: Solve for x

1. Add 2x on both sides: 6x + 1 = 3
2. Subtract 1 on both sides: 6x = 2
3. Divide 6 on both sides: x = 1/3

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute: 4(1/3) + 1 = 3 - 2(1/3)
2. Multiply: 4/3 + 1 = 3 - 2/3
3. Add/Subtract: 7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.