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5a=x-10+50
Add 50 to both sides.
5a=x+40
Add -10 and 50 to get 40.
\frac{5a}{5}=\frac{x+40}{5}
Divide both sides by 5.
a=\frac{x+40}{5}
Dividing by 5 undoes the multiplication by 5.
a=\frac{x}{5}+8
Divide x+40 by 5.
x-10=5a-50
Swap sides so that all variable terms are on the left hand side.
x=5a-50+10
Add 10 to both sides.
x=5a-40
Add -50 and 10 to get -40.