Solve -mx+13/2=3

$$\frac { - m x + 13 } { 2 } = 3$$

Solve for m

$$m=\frac{7}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides by 2.

$$\left(-m\right)x+13=3\times 2$$

Multiply 3 and 2 to get 6.

$$\left(-m\right)x+13=6$$

Subtract 13 from both sides.

$$\left(-m\right)x=6-13$$

Subtract 13 from 6 to get -7.

$$\left(-m\right)x=-7$$

Reorder the terms.

$$-mx=-7$$

The equation is in standard form.

$$\left(-x\right)m=-7$$

Divide both sides by -x.

$$\frac{\left(-x\right)m}{-x}=-\frac{7}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$m=-\frac{7}{-x}$$

Divide -7 by -x.

$$m=\frac{7}{x}$$

Solve for x

$$x=\frac{7}{m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides by 2.

$$\left(-m\right)x+13=3\times 2$$

Multiply 3 and 2 to get 6.

$$\left(-m\right)x+13=6$$

Subtract 13 from both sides.

$$\left(-m\right)x=6-13$$

Subtract 13 from 6 to get -7.

$$\left(-m\right)x=-7$$

Divide both sides by -m.

$$\frac{\left(-m\right)x}{-m}=-\frac{7}{-m}$$

Dividing by -m undoes the multiplication by -m.

$$x=-\frac{7}{-m}$$

Divide -7 by -m.

$$x=\frac{7}{m}$$