Solve 5=25-12x/c

$$5 = 25 - \frac { 12 x } { c }$$

Solve for c

$$c=\frac{3x}{5}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$5c=c\times 25-12x$$

Subtract c\times 25 from both sides.

$$5c-c\times 25=-12x$$

Combine 5c and -c\times 25 to get -20c.

$$-20c=-12x$$

Divide both sides by -20.

$$\frac{-20c}{-20}=-\frac{12x}{-20}$$

Dividing by -20 undoes the multiplication by -20.

$$c=-\frac{12x}{-20}$$

Divide -12x by -20.

$$c=\frac{3x}{5}$$

Variable c cannot be equal to 0.

$$c=\frac{3x}{5}\text{, }c\neq 0$$

Solve for x

$$x=\frac{5c}{3}$$

$$c\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c.

$$5c=c\times 25-12x$$

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

$$c\times 25-12x=5c$$

Subtract c\times 25 from both sides.

$$-12x=5c-c\times 25$$

Combine 5c and -c\times 25 to get -20c.

$$-12x=-20c$$

Divide both sides by -12.

$$\frac{-12x}{-12}=-\frac{20c}{-12}$$

Dividing by -12 undoes the multiplication by -12.

$$x=-\frac{20c}{-12}$$

Divide -20c by -12.

$$x=\frac{5c}{3}$$