Question

1. leah-james, anika, and sai are each solving the same equation. describe the move they each made.

a original equation:
12x + 4 = 20x − 12
the result of leah-james’s first step was
4 = 8x − 12

Explanation:

Step1: Analyze Leah-James's step

Subtract $12x$ from both sides:
$12x + 4 - 12x = 20x - 12 - 12x$
Simplifies to $4 = 8x - 12$

Step2: Analyze Anika's step

Divide all terms by 4:
$\frac{12x}{4} + \frac{4}{4} = \frac{20x}{4} - \frac{12}{4}$
Simplifies to $3x + 1 = 5x - 3$

Step3: Analyze Sai's step

Subtract $(-12)$ (add 12) to both sides:
$12x + 4 + 12 = 20x - 12 + 12$
Simplifies to $12x + 16 = 20x$

Answer:

a) Leah-James subtracted $12x$ from both sides of the original equation.
b) Anika divided every term in the original equation by 4.
c) Sai added 12 to both sides of the original equation.