Question

Which equation, when solved, glves 8 for the value of x?

Answer 1

Answer:

C

Step-by-step explanation:

$\frac{5x}{2} +\frac{7}{2} =\frac{3x}{4} +14$ isolate the terms with the variable x

$\frac{5x}{2} -\frac{3x}{4} =14-\frac{7}{2}$ get the same denominator and combine like terms

$\frac{10x-3x}{4} = \frac{28-7}{2}$ solve

$\frac{7x}{4} =\frac{21}{2}$ crossmultiply and solve for x

$x=\frac{4*21}{7*2} =6$ so is not the first option

try second

$\frac{5x}{4} -9=\frac{3x}{2} -12$ same steps as before

$\frac{5x-6x}{4}=9-12$

$\frac{-x}{4} =\frac{-3}{1}$  so  x=12 not the second option

try third option

$\frac{5x}{4} -2=\frac{3x}{2} -4$

$\frac{5x-6x}{4} =2-4$

$\frac{-x}{4} =\frac{-2}{1}$ so x=8

Answer 2

Answer:

C.

Step-by-step explanation:

5/4x-2=3/2x-4

5/4x-3/2x = -4+2

(multiply both sides by 4)

5x-6x=-16+8

-x=-8

(multiply by -1)

x=8