Question

3(x + 10) + 6 = 3(x + 12)

Answer 1

infinitely many solutions / all solutions

Explanation:

1. you distribute 3x+30+6 = 3x+36
2. combine like terms 3x+36 = 3x+36
3. realise the 2 terms are the same so x can be anything

Answer 2

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

3(x + 10) + 6 = 3(x + 12)

Step 2: Solve for x

1. Distribute 3: 3x + 30 + 6 = 3x + 36
2. Combine like terms: 3x + 36 = 3x + 36
3. Subtract 36 on both sides: 3x = 3x
4. Divide 3 on both sides: x = x

Here we see that x does indeed equal x. We can plug in any number x and it would render the equation true.

∴ x = infinite amount of solutions