Solve 0=ax+12/bx+1

$$0 = \frac { a x + 12 } { b x + 1 }$$

Solve for a

$$a=-\frac{12}{x}$$

$$x\neq 0\text{ and }\left(b=0\text{ or }x\neq -\frac{1}{b}\right)$$

Steps for Solving Linear Equation

Multiply both sides of the equation by bx+1.

$$0=ax+12$$

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

$$ax+12=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$ax=-12$$

The equation is in standard form.

$$xa=-12$$

Divide both sides by x.

$$\frac{xa}{x}=-\frac{12}{x}$$

Dividing by x undoes the multiplication by x.

$$a=-\frac{12}{x}$$

Solve for b

$$b\neq -\frac{1}{x}$$

$$a=-\frac{12}{x}\text{ and }x\neq 0$$