Answer:
[tex]x=12[/tex]
Step-by-step explanation:
we have
[tex]-8(8-x)=\frac{4}{5}(x+28)[/tex]
solve for x
Applying distributive property both sides
[tex]-8(8)-8(-x)=\frac{4}{5}(x)+\frac{4}{5}(28)[/tex]
[tex]-64+8x=\frac{4}{5}(x)+\frac{112}{5}[/tex]
Multiply by 5 both sides to remove the fractions
[tex]-64(5)+8x(5)=4x+112[/tex]
[tex]-320+40x=4x+112[/tex]
subtract 4x both sides
[tex]-320+40x-4x=4x+112-4x[/tex]
[tex]-320+36x=112[/tex]
Adds 320 both sides
[tex]-320+36x+320=112+320[/tex]
[tex]36x=432[/tex]
divide by 36 both sides
[tex]x=12[/tex]
