Question

1. which value of 4x makes the equation 4x + 2x = 2x + \frac{3}{4} true?

\textcircled{a} \frac{3}{4}
\textcircled{b} 2\frac{3}{4}
\textcircled{c} 6
\textcircled{d} 2

Explanation:

Step1: Simplify the equation

$$4x + 2x=2x+\frac{3}{4}$$
$$6x=2x+\frac{3}{4}$$

Step2: Subtract \(2x\) from both sides

$$6x - 2x=2x+\frac{3}{4}-2x$$
$$4x=\frac{3}{4}$$

Answer:

A. \(\frac{3}{4}\)