Question

Is 1/8 -10(3/4-3/8x) + 5/8x equivalent to -1/8(59 -35X)

Answer 1

Yes, The expression
`(1)/(8) -10((3)/(4)-(3)/(8)x)+(5)/(8) x` is equivalent to
`-(1)/(8) (59-35x)`

Step-by-step explanation:

The given expression is
`(1)/(8) -10((3)/(4)-(3)/(8)x)+(5)/(8) x`

Solving, we get,

`(1)/(8) -(30)/(4)+(30)/(8)x+(5)/(8) x`

Adding the similar terms, we have,

`((1)/(8) -(30)/(4))+((30)/(8)x+(5)/(8) x)\\`

`(1-60)/(8) +(35)/(8)x`

Adding, we get,

`-(59)/(8) +(35)/(8)x`

Taking out the common term
`-(1)/(8)` , we have,

`-(1)/(8) (59-35x)`

Thus, the expression
`(1)/(8) -10((3)/(4)-(3)/(8)x)+(5)/(8) x` is equivalent to
`-(1)/(8) (59-35x)`