Answer:
x=112
Step-by-step 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 [tex]\frac{-7}{8} x[/tex], multiply the numerator and denominator by 7.
[tex]\frac{-7x}{8}[/tex]×[tex]\frac{7}{7}[/tex]= [tex]\frac{-49}{56} x[/tex]
we can leave [tex]\frac{-5}{56}x[/tex] as it is
and for [tex]\frac{1}{7} x[/tex], we cam multiply the numerator and denominator by 8
[tex]\frac{1x}{7}[/tex]×[tex]\frac{8}{8}[/tex]=[tex]\frac{8x}{56}[/tex]
Here's the equation now:
[tex]\frac{-49x}{56}[/tex]-[tex]\frac{5x}{56}[/tex]+[tex]\frac{8x}{56}[/tex]=-92
now simlify the fractions
numerators:
-49x-5x+8x=-46x
here's the fraction now:
[tex]\frac{-46x}{56}[/tex]=-92
We can simplify the fraction by 2 so it's [tex]\frac{-23x}{28}[/tex]
[tex]\frac{-23x}{28}[/tex]=-92
now multiply both sides by [tex]\frac{28}{-23}[/tex], which is the reciprocal of [tex]\frac{-23}{28}[/tex] (to isolate the variable)
[tex]\frac{28}{-23}[/tex]×[tex]\frac{-23x}{28}[/tex]=-92×[tex]\frac{28}{-23}[/tex]
[tex]\frac{-92*28}{-23}[/tex]
x=112
Hope this helps!
