Answer:
[tex]\boxed{\bold{x=-19}}[/tex]
Step By Step Explanation:
Expand [tex]\bold{5\left(x-2\right): \ 5x-10}[/tex]
Expand [tex]\bold{7\left(x+4\right): \ 7x+28}[/tex]
[tex]\bold{5x-10=7x+28}[/tex]
Add 10 To Both Sides
[tex]\bold{5x=7x+38}[/tex]
Subtract 7x From Both Sides
[tex]\bold{5x-7x=7x+38-7x}[/tex]
Simplify
[tex]\bold{-2x=38}[/tex]
Divide Both Sides By -2
[tex]\bold{\frac{-2x}{-2}=\frac{38}{-2}}[/tex]
Simplify
[tex]\bold{x=-19}[/tex]
