Question

1. what is the value of x in the equation? 4x + 2 - \frac{2}{3}(\frac{9}{2}+\frac{9}{2}x)=7 \textcircled{a} \frac{8}{7} \textcircled{b} \frac{13}{10} \textcircled{c} 6 \textcircled{d} 8

Explanation:

Step1: Expand the equation

$$\begin{align*} 4x + 2-\frac{2}{3}\times\frac{9}{2}-\frac{2}{3}\times\frac{9}{2}x&=7\\ 4x + 2 - 3-3x&=7 \end{align*}$$

Step2: Combine like - terms

$$ (4x-3x)+(2 - 3)=7 $$

$$ x-1 = 7 $$

Step3: Solve for \(x\)

Add \(1\) to both sides of the equation: \(x=7 + 1\)

Answer:

\(x = 8\), so the answer is D.