Question

1. which equation is equivalent to $-\frac{3}{4}x + \frac{1}{8}=-\frac{3}{8}$?

f. $-\frac{3}{4}x = -\frac{3}{8}-\frac{1}{8}$
g. $-\frac{3}{4}x = -\frac{3}{8}+\frac{1}{8}$
h. $x + \frac{1}{8}=-\frac{3}{8}cdotleft(-\frac{4}{3}
ight)$
i. $x + \frac{1}{8}=-\frac{3}{8}cdotleft(-\frac{3}{4}
ight)$

Explanation:

Step1: Isolate the x-term

Subtract $\frac{1}{8}$ from both sides:
$$-\frac{3}{4}x + \frac{1}{8} - \frac{1}{8} = -\frac{3}{8} - \frac{1}{8}$$
Simplify to get:
$$-\frac{3}{4}x = -\frac{3}{8} - \frac{1}{8}$$

Step2: Match with options

Compare the result to the given choices.

Answer:

E. $-\frac{3}{4}x = -\frac{3}{8} - \frac{1}{8}$