Question

Solve:


`x - * (5)/(8) = (1)/(8)`
Give your answer in simplified form​

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{ (3)/(4) \: \: or \: \:0.75 }}}}}`

Explanation:

`\sf{x - (5)/(8) = (1)/(8) }`

L.C.M of 1 and 8 = 8

`\longrightarrow{ \sf{ (x * 8 - 5)/(8) = (1)/(8) }}`

`\longrightarrow{ \sf{ (8x - 5)/(8) = (1)/(8)}}`

Do cross multiplication

`\longrightarrow{ \sf{8(8x - 5) = 1 * 8}}`

`\longrightarrow{ \sf{64x - 40 = 8}}`

Move 40 to right hand side and change its sign

`\longrightarrow{ \sf{64x = 8 + 40}}`

Add the numbers : 40 and 8

`\longrightarrow{ \sf{64x = 48}}`

Divide both sides by 64

`\longrightarrow{ \sf{ (64x)/(64) = (48)/(64) }}`

Calculate

`\longrightarrow{ \sf{ (3)/(4) }}`

Hope I helped!

Best regards! :D

Answer 2

Steps to solve:

x - 5/8 = 1/8

~Add 5/8 to both sides

x = 6/8 or x = 3/4

Best of Luck!