Question

3.2(x−1)+1.5(2x−2)=7.44

Answer 1

x = 2.2

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

3.2(x - 1) + 1.5(2x - 2) = 7.44

Step 2: Solve for x

1. Distribute: 3.2x - 3.2 + 3x - 3 = 7.44
2. Combine like terms: 6.2x - 6.2 = 7.44
3. Isolate x term: 6.2x = 13.64
4. Isolate x: x = 2.2

Step 3: Check

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

1. Substitute in x: 3.2(2.2 - 1) + 1.5(2(2.2) - 2) = 7.44
2. Multiply: 3.2(2.2 - 1) + 1.5(4.4 - 2) = 7.44
3. Subtract: 3.2(1.2) + 1.5(2.2) = 7.44
4. Multiply: 3.84 + 3.6 = 7.44
5. Add: 7.44 = 7.44

Here we see that 7.44 does indeed equal 7.44

∴ x = 2.2 is the solution to the equation.