Solve for a
a=\frac{x}{2}+\frac{5}{3}
Solve for x
x=2a-\frac{10}{3}
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6a=3x+10
Swap sides so that all variable terms are on the left hand side.
\frac{6a}{6}=\frac{3x+10}{6}
Divide both sides by 6.
a=\frac{3x+10}{6}
Dividing by 6 undoes the multiplication by 6.
a=\frac{x}{2}+\frac{5}{3}
Divide 3x+10 by 6.
3x=6a-10
Subtract 10 from both sides.
\frac{3x}{3}=\frac{6a-10}{3}
Divide both sides by 3.
x=\frac{6a-10}{3}
Dividing by 3 undoes the multiplication by 3.
x=2a-\frac{10}{3}
Divide 6a-10 by 3.
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