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2a-6b+1=5c
Use the distributive property to multiply 2 by a-3b.
2a+1=5c+6b
Add 6b to both sides.
2a=5c+6b-1
Subtract 1 from both sides.
2a=6b+5c-1
The equation is in standard form.
\frac{2a}{2}=\frac{6b+5c-1}{2}
Divide both sides by 2.
a=\frac{6b+5c-1}{2}
Dividing by 2 undoes the multiplication by 2.
a=\frac{5c}{2}+3b-\frac{1}{2}
Divide 5c+6b-1 by 2.
2a-6b+1=5c
Use the distributive property to multiply 2 by a-3b.
-6b+1=5c-2a
Subtract 2a from both sides.
-6b=5c-2a-1
Subtract 1 from both sides.
-6b=-2a+5c-1
The equation is in standard form.
\frac{-6b}{-6}=\frac{-2a+5c-1}{-6}
Divide both sides by -6.
b=\frac{-2a+5c-1}{-6}
Dividing by -6 undoes the multiplication by -6.
b=\frac{a}{3}-\frac{5c}{6}+\frac{1}{6}
Divide 5c-2a-1 by -6.