Question

7x+0.1+10x-0.2=5 solve for x

Answer 1

x = 0.3

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Explanation:

Step 1: Define

7x + 0.1 + 10x - 0.2 = 5

Step 2: Solve for x

1. Combine like terms: 17x - 0.1 = 5
2. Isolate x term: 17x = 5.1
3. Isolate x: x = 0.3

Step 3: Check

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

1. Substitute in x: 7(0.3) + 0.1 + 10(0.3) - 0.2 = 5
2. Multiply: 2.1 + 0.1 + 3 - 0.2 = 5
3. Add: 2.2 + 3 - 0.2 = 5
4. Add: 5.5 - 0.2 = 5
5. Subtract: 5 = 5

Here we see that 5 does indeed equal 5.

∴ x = 0.3 is the solution to the equation.