Solve 2(j-m)/m+k=3-k

$$\frac { 2 ( j - m ) } { m } + k = 3 - k$$

Solve for j

$$j=\frac{m\left(5-2k\right)}{2}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by m.

$$2\left(j-m\right)+mk=m\times 3-km$$

Use the distributive property to multiply 2 by j-m.

$$2j-2m+mk=m\times 3-km$$

Add 2m to both sides.

$$2j+mk=m\times 3-km+2m$$

Combine m\times 3 and 2m to get 5m.

$$2j+mk=5m-km$$

Subtract mk from both sides.

$$2j=5m-km-mk$$

Combine -km and -mk to get -2km.

$$2j=5m-2km$$

Divide both sides by 2.

$$\frac{2j}{2}=\frac{m\left(5-2k\right)}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$j=\frac{m\left(5-2k\right)}{2}$$

Divide m\left(5-2k\right) by 2.

$$j=-km+\frac{5m}{2}$$

Solve for k

$$k=-\frac{j}{m}+\frac{5}{2}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by m.

$$2\left(j-m\right)+mk=m\times 3-km$$

Use the distributive property to multiply 2 by j-m.

$$2j-2m+mk=m\times 3-km$$

Add km to both sides.

$$2j-2m+mk+km=m\times 3$$

Combine mk and km to get 2mk.

$$2j-2m+2mk=m\times 3$$

Subtract 2j from both sides.

$$-2m+2mk=m\times 3-2j$$

Add 2m to both sides.

$$2mk=m\times 3-2j+2m$$

Combine m\times 3 and 2m to get 5m.

$$2mk=5m-2j$$

Divide both sides by 2m.

$$\frac{2mk}{2m}=\frac{5m-2j}{2m}$$

Dividing by 2m undoes the multiplication by 2m.

$$k=\frac{5m-2j}{2m}$$

Divide 5m-2j by 2m.

$$k=-\frac{j}{m}+\frac{5}{2}$$