Question

7x - 3 = 39 sloving linear equations

Answer 1

7x - 3 = 39
first add three to both sides
7x = 42
next divide both sides by 7
x = 6

Answer 2

x = 6

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

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

7x - 3 = 39

Step 2: Solve for x

1. [Addition Property of Equality] Add 3 on both sides: 7x = 42
2. [Division Property of Equality] Divide 7 on both sides: x = 6

Step 3: Check

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

1. Substitute in x: 7(6) - 3 = 39
2. Multiply: 42 - 3 = 39
3. Subtract: 39 = 39

Here we see that 39 does indeed equal 39.

∴ x = 6 is the solution to the equation.