Solve 400=2x8(b+15)

$$400 = 2 x 8 ( b + 15 )$$

Solve for b

$$b=-15+\frac{200}{x_{8}}$$

$$x_{8}\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x_{8} by b+15.

$$400=2x_{8}b+30x_{8}$$

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

$$2x_{8}b+30x_{8}=400$$

Subtract 30x_{8} from both sides.

$$2x_{8}b=400-30x_{8}$$

Divide both sides by 2x_{8}.

$$\frac{2x_{8}b}{2x_{8}}=\frac{400-30x_{8}}{2x_{8}}$$

Dividing by 2x_{8} undoes the multiplication by 2x_{8}.

$$b=\frac{400-30x_{8}}{2x_{8}}$$

Divide 400-30x_{8} by 2x_{8}.

$$b=-15+\frac{200}{x_{8}}$$

Solve for x_8

$$x_{8}=\frac{200}{b+15}$$

$$b\neq -15$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x_{8} by b+15.

$$400=2x_{8}b+30x_{8}$$

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

$$2x_{8}b+30x_{8}=400$$

Combine all terms containing x_{8}.

$$\left(2b+30\right)x_{8}=400$$

Divide both sides by 2b+30.

$$\frac{\left(2b+30\right)x_{8}}{2b+30}=\frac{400}{2b+30}$$

Dividing by 2b+30 undoes the multiplication by 2b+30.

$$x_{8}=\frac{400}{2b+30}$$

Divide 400 by 2b+30.

$$x_{8}=\frac{200}{b+15}$$