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6x+5n=60
Multiply both sides of the equation by 30, the least common multiple of 5,6.
5n=60-6x
Subtract 6x from both sides.
\frac{5n}{5}=\frac{60-6x}{5}
Divide both sides by 5.
n=\frac{60-6x}{5}
Dividing by 5 undoes the multiplication by 5.
n=-\frac{6x}{5}+12
Divide 60-6x by 5.
6x+5n=60
Multiply both sides of the equation by 30, the least common multiple of 5,6.
6x=60-5n
Subtract 5n from both sides.
\frac{6x}{6}=\frac{60-5n}{6}
Divide both sides by 6.
x=\frac{60-5n}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{5n}{6}+10
Divide 60-5n by 6.