Solve 26n/x-10=3

$$\frac { 26 n } { x } - 10 = 3$$

Solve for n

$$n=\frac{x}{2}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$26n+x\left(-10\right)=3x$$

Subtract x\left(-10\right) from both sides.

$$26n=3x-x\left(-10\right)$$

Combine 3x and -x\left(-10\right) to get 13x.

$$26n=13x$$

Divide both sides by 26.

$$\frac{26n}{26}=\frac{13x}{26}$$

Dividing by 26 undoes the multiplication by 26.

$$n=\frac{13x}{26}$$

Divide 13x by 26.

$$n=\frac{x}{2}$$

Solve for x

$$x=2n$$

$$n\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$26n+x\left(-10\right)=3x$$

Subtract 3x from both sides.

$$26n+x\left(-10\right)-3x=0$$

Combine x\left(-10\right) and -3x to get -13x.

$$26n-13x=0$$

Subtract 26n from both sides. Anything subtracted from zero gives its negation.

$$-13x=-26n$$

Divide both sides by -13.

$$\frac{-13x}{-13}=-\frac{26n}{-13}$$

Dividing by -13 undoes the multiplication by -13.

$$x=-\frac{26n}{-13}$$

Divide -26n by -13.

$$x=2n$$

Variable x cannot be equal to 0.

$$x=2n\text{, }x\neq 0$$