Answer
The solution is -6
Work Step by Step
-$\frac{3}{4}$x = $\frac{9}{2}$ LCD of 4and 2is 4.Multiply by 4both sides
4$\times$-$\frac{3}{4}$x = 4$\times$$\frac{9}{2}$
$\frac{4\times -3x}{4}$=$\frac{4\times9}{2}$
-3x=2$\times$9
-3x=18
Multiply by $\frac{1}{3}$ both sides
$\frac{1}{3}$$\times$-3x=$\frac{1}{3}$$\times$18
-x=6
x=-6
The solution is -6
Check
Replace x with -6
-$\frac{3}{4}$x = $\frac{9}{2}$
-$\frac{3}{4}$ $\times$-6= $\frac{9}{2}$
$\frac{3\times6}{4}$ = $\frac{9}{2}$
$\frac{3\times2\times3}{2\times2}$ = $\frac{9}{2}$
$\frac{9}{2}$ =$\frac{9}{2}$
