Solve for k
k=-\frac{5}{x}
x\neq 0
Solve for x
x=-\frac{5}{k}
k\neq 0
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kx-5x+6=1-5x
Use the distributive property to multiply k-5 by x.
kx+6=1-5x+5x
Add 5x to both sides.
kx+6=1
Combine -5x and 5x to get 0.
kx=1-6
Subtract 6 from both sides.
kx=-5
Subtract 6 from 1 to get -5.
xk=-5
The equation is in standard form.
\frac{xk}{x}=-\frac{5}{x}
Divide both sides by x.
k=-\frac{5}{x}
Dividing by x undoes the multiplication by x.
kx-5x+6=1-5x
Use the distributive property to multiply k-5 by x.
kx-5x+6+5x=1
Add 5x to both sides.
kx+6=1
Combine -5x and 5x to get 0.
kx=1-6
Subtract 6 from both sides.
kx=-5
Subtract 6 from 1 to get -5.
\frac{kx}{k}=-\frac{5}{k}
Divide both sides by k.
x=-\frac{5}{k}
Dividing by k undoes the multiplication by k.
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