Question

2.7x -9 = x +7.5 need the answer can't find solution.

Answer 1

x = 9.7

Explanation:

2.7x -9 = x +7.5

2.7x - x = 7.5 + 9

1.7x = 16.5

x = 16.5/1.7

x = 9.7

Answer 2

x = 9.70588

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

2.7x - 9 = x + 7.5

Step 2: Solve for x

1. Subtract x on both sides: 1.7x - 9 = 7.5
2. Add 9 on both sides: 1.7x = 16.5
3. Divide 1.7 on both sides: x = 9.70588

Step 3: Check

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

1. Substitute in x: 2.7(9.70588) - 9 = 9.70588 + 7.5
2. Multiply: 26.2059 - 9 = 9.70588 + 7.5
3. Subtract/Add: 17.2059 = 17.2059

Here we see that 17.2059 does indeed equal 17.2059.

∴ x = 9.70588 is a solution of the equation.