Solve b_{0}x=1/2[100*(22-x)]

$$b _ { 0 } x = \frac { 1 } { 2 } [ 100 \times ( 22 - x ) ]$$

Solve for b_0

$$b_{0}=-50+\frac{1100}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 100 to get 50.

$$b_{0}x=50\left(22-x\right)$$

Use the distributive property to multiply 50 by 22-x.

$$b_{0}x=1100-50x$$

The equation is in standard form.

$$xb_{0}=1100-50x$$

Divide both sides by x.

$$\frac{xb_{0}}{x}=\frac{1100-50x}{x}$$

Dividing by x undoes the multiplication by x.

$$b_{0}=\frac{1100-50x}{x}$$

Divide 1100-50x by x.

$$b_{0}=-50+\frac{1100}{x}$$

Solve for x

$$x=\frac{1100}{b_{0}+50}$$

$$b_{0}\neq -50$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 100 to get 50.

$$b_{0}x=50\left(22-x\right)$$

Use the distributive property to multiply 50 by 22-x.

$$b_{0}x=1100-50x$$

Add 50x to both sides.

$$b_{0}x+50x=1100$$

Combine all terms containing x.

$$\left(b_{0}+50\right)x=1100$$

Divide both sides by b_{0}+50.

$$\frac{\left(b_{0}+50\right)x}{b_{0}+50}=\frac{1100}{b_{0}+50}$$

Dividing by b_{0}+50 undoes the multiplication by b_{0}+50.

$$x=\frac{1100}{b_{0}+50}$$