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26n+x\left(-10\right)=3x
Multiply both sides of the equation by x.
26n=3x-x\left(-10\right)
Subtract x\left(-10\right) from both sides.
26n=13x
Combine 3x and -x\left(-10\right) to get 13x.
\frac{26n}{26}=\frac{13x}{26}
Divide both sides by 26.
n=\frac{13x}{26}
Dividing by 26 undoes the multiplication by 26.
n=\frac{x}{2}
Divide 13x by 26.
26n+x\left(-10\right)=3x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
26n+x\left(-10\right)-3x=0
Subtract 3x from both sides.
26n-13x=0
Combine x\left(-10\right) and -3x to get -13x.
-13x=-26n
Subtract 26n from both sides. Anything subtracted from zero gives its negation.
\frac{-13x}{-13}=-\frac{26n}{-13}
Divide both sides by -13.
x=-\frac{26n}{-13}
Dividing by -13 undoes the multiplication by -13.
x=2n
Divide -26n by -13.
x=2n\text{, }x\neq 0
Variable x cannot be equal to 0.