Answer:
C
Step-by-step explanation:
[tex]\frac{5x}{2} +\frac{7}{2} =\frac{3x}{4} +14\[/tex] isolate the terms with the variable x
[tex]\frac{5x}{2} -\frac{3x}{4} =14-\frac{7}{2}[/tex] get the same denominator and combine like terms
[tex]\frac{10x-3x}{4} = \frac{28-7}{2}[/tex] solve
[tex]\frac{7x}{4} =\frac{21}{2}[/tex] crossmultiply and solve for x
[tex]x=\frac{4*21}{7*2} =6[/tex] so is not the first option
try second
[tex]\frac{5x}{4} -9=\frac{3x}{2} -12[/tex] same steps as before
[tex]\frac{5x-6x}{4}=9-12\[/tex]
[tex]\frac{-x}{4} =\frac{-3}{1}[/tex] so x=12 not the second option
try third option
[tex]\frac{5x}{4} -2=\frac{3x}{2} -4[/tex]
[tex]\frac{5x-6x}{4} =2-4[/tex]
[tex]\frac{-x}{4} =\frac{-2}{1}[/tex] so x=8
