Solve for k
k=10x+\frac{19}{2}
Solve for x
x=\frac{k}{10}-\frac{19}{20}
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2k-9=20x+10
Add -5 and 15 to get 10.
2k=20x+10+9
Add 9 to both sides.
2k=20x+19
Add 10 and 9 to get 19.
\frac{2k}{2}=\frac{20x+19}{2}
Divide both sides by 2.
k=\frac{20x+19}{2}
Dividing by 2 undoes the multiplication by 2.
k=10x+\frac{19}{2}
Divide 20x+19 by 2.
2k-9=20x+10
Add -5 and 15 to get 10.
20x+10=2k-9
Swap sides so that all variable terms are on the left hand side.
20x=2k-9-10
Subtract 10 from both sides.
20x=2k-19
Subtract 10 from -9 to get -19.
\frac{20x}{20}=\frac{2k-19}{20}
Divide both sides by 20.
x=\frac{2k-19}{20}
Dividing by 20 undoes the multiplication by 20.
x=\frac{k}{10}-\frac{19}{20}
Divide 2k-19 by 20.
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