Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{3}{4} \: \: or \: \:0.75 }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{x - \frac{5}{8} = \frac{1}{8} }[/tex]
L.C.M of 1 and 8 = 8
[tex] \longrightarrow{ \sf{ \frac{x \times 8 - 5}{8} = \frac{1}{8} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{8x - 5}{8} = \frac{1}{8}}} [/tex]
Do cross multiplication
[tex] \longrightarrow{ \sf{8(8x - 5) = 1 \times 8}}[/tex]
[tex] \longrightarrow{ \sf{64x - 40 = 8}}[/tex]
Move 40 to right hand side and change its sign
[tex] \longrightarrow{ \sf{64x = 8 + 40}}[/tex]
Add the numbers : 40 and 8
[tex] \longrightarrow{ \sf{64x = 48}}[/tex]
Divide both sides by 64
[tex] \longrightarrow{ \sf{ \frac{64x}{64} = \frac{48}{64} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{ \frac{3}{4} }}[/tex]
Hope I helped!
Best regards! :D
