Solve x/5m-3=10

$$\frac { x } { 5 m } - 3 = 10$$

Solve for m

$$m=\frac{x}{65}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5m.

$$x+5m\left(-3\right)=50m$$

Multiply 5 and -3 to get -15.

$$x-15m=50m$$

Subtract 50m from both sides.

$$x-15m-50m=0$$

Combine -15m and -50m to get -65m.

$$x-65m=0$$

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$-65m=-x$$

Divide both sides by -65.

$$\frac{-65m}{-65}=-\frac{x}{-65}$$

Dividing by -65 undoes the multiplication by -65.

$$m=-\frac{x}{-65}$$

Divide -x by -65.

$$m=\frac{x}{65}$$

Variable m cannot be equal to 0.

$$m=\frac{x}{65}\text{, }m\neq 0$$

Solve for x

$$x=65m$$

$$m\neq 0$$

Solution Steps

Multiply both sides of the equation by 5m.

$$x+5m\left(-3\right)=50m$$

Multiply 5 and -3 to get -15.

$$x-15m=50m$$

Add 15m to both sides.

$$x=50m+15m$$

Combine 50m and 15m to get 65m.

$$x=65m$$