Solve for k
k=\frac{x+5}{10}
Solve for x
x=10k-5
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30k-15=3x
Use the distributive property to multiply 5 by 6k-3.
30k=3x+15
Add 15 to both sides.
\frac{30k}{30}=\frac{3x+15}{30}
Divide both sides by 30.
k=\frac{3x+15}{30}
Dividing by 30 undoes the multiplication by 30.
k=\frac{x}{10}+\frac{1}{2}
Divide 15+3x by 30.
30k-15=3x
Use the distributive property to multiply 5 by 6k-3.
3x=30k-15
Swap sides so that all variable terms are on the left hand side.
\frac{3x}{3}=\frac{30k-15}{3}
Divide both sides by 3.
x=\frac{30k-15}{3}
Dividing by 3 undoes the multiplication by 3.
x=10k-5
Divide 30k-15 by 3.
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