Solve x+bx-15=0

$$x + b x - 15 = 0$$

Solve for b

$$b=-1+\frac{15}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$bx-15=-x$$

Add 15 to both sides.

$$bx=-x+15$$

The equation is in standard form.

$$xb=15-x$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{15-x}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{15-x}{x}$$

Divide -x+15 by x.

$$b=-1+\frac{15}{x}$$

Solve for x

$$x=\frac{15}{b+1}$$

$$b\neq -1$$

Steps for Solving Linear Equation

Add 15 to both sides. Anything plus zero gives itself.

$$x+bx=15$$

Combine all terms containing x.

$$\left(1+b\right)x=15$$

The equation is in standard form.

$$\left(b+1\right)x=15$$

Divide both sides by 1+b.

$$\frac{\left(b+1\right)x}{b+1}=\frac{15}{b+1}$$

Dividing by 1+b undoes the multiplication by 1+b.

$$x=\frac{15}{b+1}$$