Solve for c
c=\frac{5\left(x-12\right)}{7}
Solve for x
x=\frac{7c}{5}+12
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14c=\left(x-12\right)\times 10
Multiply 2 and 7 to get 14.
14c=10x-120
Use the distributive property to multiply x-12 by 10.
\frac{14c}{14}=\frac{10x-120}{14}
Divide both sides by 14.
c=\frac{10x-120}{14}
Dividing by 14 undoes the multiplication by 14.
c=\frac{5x-60}{7}
Divide -120+10x by 14.
14c=\left(x-12\right)\times 10
Multiply 2 and 7 to get 14.
14c=10x-120
Use the distributive property to multiply x-12 by 10.
10x-120=14c
Swap sides so that all variable terms are on the left hand side.
10x=14c+120
Add 120 to both sides.
\frac{10x}{10}=\frac{14c+120}{10}
Divide both sides by 10.
x=\frac{14c+120}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{7c}{5}+12
Divide 14c+120 by 10.
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