Chapter 12, Problem 21CCSR

To determine

Choose the correct option.

Answer to Problem 21CCSR

  $option\left(b\right),x=4.5$

Explanation of Solution

Given information:

Simplify,

  $\frac{4x+3}{3}-\frac{2x-1}{2}=3$

  $\left(a\right)0\left(b\right)4.5\left(c\right)7\left(d\right)8$

Calculation:

Here, we have:

  $\begin{array}{l}\frac{4x+3}{3}-\frac{2x-1}{2}=\mathrm{3.............}\left(1\right)\\ Mutilplybothsidesby6:\\ 6\left(\frac{4x+3}{3}\right)-6\left(\frac{2x-1}{2}\right)=18\\ 2\left(4x+3\right)-3\left(2x-1\right)=18\\ 8x-6x+3+6=18\\ 2x+9=18\\ 2x=18-9\\ 2x=9\\ x=4.5\end{array}$

Hence, the answer is $x=4.5$ .