Solve 7c/x+13/x=73

$$\frac { 7 c } { x } + \frac { 13 } { x } = 73$$

Solve for c

$$c=\frac{73x-13}{7}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$7c+13=73x$$

Subtract 13 from both sides.

$$7c=73x-13$$

Divide both sides by 7.

$$\frac{7c}{7}=\frac{73x-13}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$c=\frac{73x-13}{7}$$

Solve for x

$$x=\frac{7c+13}{73}$$

$$c\neq -\frac{13}{7}$$

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.

$$7c+13=73x$$

Swap sides so that all variable terms are on the left hand side.

$$73x=7c+13$$

Divide both sides by 73.

$$\frac{73x}{73}=\frac{7c+13}{73}$$

Dividing by 73 undoes the multiplication by 73.

$$x=\frac{7c+13}{73}$$

Variable x cannot be equal to 0.

$$x=\frac{7c+13}{73}\text{, }x\neq 0$$