Solve ax+3=3x-11

$$a x + 3 = 3 x - 11$$

Solve for a

$$a=3-\frac{14}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 3 from both sides.

$$ax=3x-11-3$$

Subtract 3 from -11 to get -14.

$$ax=3x-14$$

The equation is in standard form.

$$xa=3x-14$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{3x-14}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{3x-14}{x}$$

Divide 3x-14 by x.

$$a=3-\frac{14}{x}$$

Solve for x

$$x=-\frac{14}{a-3}$$

$$a\neq 3$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$ax+3-3x=-11$$

Subtract 3 from both sides.

$$ax-3x=-11-3$$

Subtract 3 from -11 to get -14.

$$ax-3x=-14$$

Combine all terms containing x.

$$\left(a-3\right)x=-14$$

Divide both sides by a-3.

$$\frac{\left(a-3\right)x}{a-3}=-\frac{14}{a-3}$$

Dividing by a-3 undoes the multiplication by a-3.

$$x=-\frac{14}{a-3}$$