Solve 3w2=w-43w2+23w2

$$3 w 2 = w - 43 w 2 + 23 w 2$$

Solve for w

$$w=23w_{2}$$

Solution Steps

Combine -43w_{2} and 23w_{2} to get -20w_{2}.

$$3w_{2}=w-20w_{2}$$

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

$$w-20w_{2}=3w_{2}$$

Add 20w_{2} to both sides.

$$w=3w_{2}+20w_{2}$$

Combine 3w_{2} and 20w_{2} to get 23w_{2}.

$$w=23w_{2}$$

Solve for w_2

$$w_{2}=\frac{w}{23}$$

Steps for Solving Linear Equation

Combine -43w_{2} and 23w_{2} to get -20w_{2}.

$$3w_{2}=w-20w_{2}$$

Add 20w_{2} to both sides.

$$3w_{2}+20w_{2}=w$$

Combine 3w_{2} and 20w_{2} to get 23w_{2}.

$$23w_{2}=w$$

Divide both sides by 23.

$$\frac{23w_{2}}{23}=\frac{w}{23}$$

Dividing by 23 undoes the multiplication by 23.

$$w_{2}=\frac{w}{23}$$