Solve AB+37=6A

$$A B + 37 = 6 A$$

Solve for A

$$A=-\frac{37}{B-6}$$

$$B\neq 6$$

Steps for Solving Linear Equation

Subtract 6A from both sides.

$$AB+37-6A=0$$

Subtract 37 from both sides. Anything subtracted from zero gives its negation.

$$AB-6A=-37$$

Combine all terms containing A.

$$\left(B-6\right)A=-37$$

Divide both sides by B-6.

$$\frac{\left(B-6\right)A}{B-6}=-\frac{37}{B-6}$$

Dividing by B-6 undoes the multiplication by B-6.

$$A=-\frac{37}{B-6}$$

Solve for B

$$B=6-\frac{37}{A}$$

$$A\neq 0$$

Steps for Solving Linear Equation

Subtract 37 from both sides.

$$AB=6A-37$$

Divide both sides by A.

$$\frac{AB}{A}=\frac{6A-37}{A}$$

Dividing by A undoes the multiplication by A.

$$B=\frac{6A-37}{A}$$

Divide 6A-37 by A.

$$B=6-\frac{37}{A}$$