Question

0.2x + 1 = 1.6x + 3.1
What value of x satisfies the equation above?

Answer 1

Your answer is -1.5

Answer 2

x = -1.5

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

0.2x + 1 = 1.6x + 3.1

Step 2: Solve for x

1. Subtract 0.2x on both sides: 1 = 1.4x + 3.1
2. Subtract 3.1 on both sides: -2.1 = 1.4x
3. Divide both sides by 1.4: -1.5 = x
4. Rewrite: x = -1.5

Step 3: Check

Plug in x to verify it's a solution.

1. Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
2. Multiply: -0.3 + 1 = -2.4 + 3.1
3. Add: 0.7 = 0.7