Solve for k
k=\frac{-25x-21}{52}
Solve for x
x=\frac{-52k-21}{25}
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39-52k=5\left(12+5x\right)
Use the distributive property to multiply 13 by 3-4k.
39-52k=60+25x
Use the distributive property to multiply 5 by 12+5x.
-52k=60+25x-39
Subtract 39 from both sides.
-52k=21+25x
Subtract 39 from 60 to get 21.
-52k=25x+21
The equation is in standard form.
\frac{-52k}{-52}=\frac{25x+21}{-52}
Divide both sides by -52.
k=\frac{25x+21}{-52}
Dividing by -52 undoes the multiplication by -52.
k=\frac{-25x-21}{52}
Divide 21+25x by -52.
39-52k=5\left(12+5x\right)
Use the distributive property to multiply 13 by 3-4k.
39-52k=60+25x
Use the distributive property to multiply 5 by 12+5x.
60+25x=39-52k
Swap sides so that all variable terms are on the left hand side.
25x=39-52k-60
Subtract 60 from both sides.
25x=-21-52k
Subtract 60 from 39 to get -21.
25x=-52k-21
The equation is in standard form.
\frac{25x}{25}=\frac{-52k-21}{25}
Divide both sides by 25.
x=\frac{-52k-21}{25}
Dividing by 25 undoes the multiplication by 25.
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