Question

Anyone know the answer to this ​

Answer 1

x = 112

Explanation:

The common denominator is 56 because 8*7 is 56

`-(7*7*x)/(8*7) -(5*x)/(56)+(8*x)/(56) = - 92 \\-(49*x)/(56) -(5*x)/(56)+(8*x)/(56) = - 92 \\(-46*x)/(56)=-92`

Multiply both sides by 56

-46*x = -92 * 56

-46*x = -5152

Divide by - 46

x = -5152/-46

x = 112

Answer 2

x=112

Explanation:

First, let's get all of the fractions to a common denominator.

Based on the numbers given (8,56, and 7), let's make all of the denominators be 56

for
`(-7)/(8) x`, multiply the numerator and denominator by 7.

`(-7x)/(8)`×
`(7)/(7)`=
`(-49)/(56) x`

we can leave
`(-5)/(56)x` as it is

and for
`(1)/(7) x`, we cam multiply the numerator and denominator by 8

`(1x)/(7)`×
`(8)/(8)`=
`(8x)/(56)`

Here's the equation now:

`(-49x)/(56)`-
`(5x)/(56)`+
`(8x)/(56)`=-92

now simlify the fractions

numerators:

-49x-5x+8x=-46x

here's the fraction now:

`(-46x)/(56)`=-92

We can simplify the fraction by 2 so it's
`(-23x)/(28)`

`(-23x)/(28)`=-92

now multiply both sides by
`(28)/(-23)`, which is the reciprocal of
`(-23)/(28)` (to isolate the variable)

`(28)/(-23)`×
`(-23x)/(28)`=-92×
`(28)/(-23)`

`(-92*28)/(-23)`

x=112

Hope this helps!