Answer:
[tex](A)x= -8[/tex]
Step-by-step explanation:
One-fourth x + 2 = [tex]\frac{1}{4}x+2[/tex]
[tex]\frac{1}{4}x+2=-\frac{5}{8}x-5[/tex]
Next, we Expand the Left hand Side by multiplying each term in the bracket by 1/4
[tex]\frac{1}{4}x+\frac{2}{4}=-\frac{5}{8}x-5[/tex]
Bringing terms with x to the left Hand Side i.e. collecting like terms
[tex]\frac{1}{4}x+\frac{5}{8}x=-5-2\\\\(\frac{1}{4}+\frac{5}{8})x=-7\\\\\frac{7}{8}x=-7[/tex]
On Cross multiplying
7x = -7 X 8
[tex]x=-\dfrac{7*8}{7}\\[/tex]
x=-8
