Solve a+5/a-6=12

$$\frac { a + 5 } { a - 6 } = 12$$

Solve for a

$$a=7$$

Steps for Solving Linear Equation

Variable a cannot be equal to 6 since division by zero is not defined. Multiply both sides of the equation by a-6.

$$a+5=12\left(a-6\right)$$

Use the distributive property to multiply 12 by a-6.

$$a+5=12a-72$$

Subtract 12a from both sides.

$$a+5-12a=-72$$

Combine a and -12a to get -11a.

$$-11a+5=-72$$

Subtract 5 from both sides.

$$-11a=-72-5$$

Subtract 5 from -72 to get -77.

$$-11a=-77$$

Divide both sides by -11.

$$a=\frac{-77}{-11}$$

Divide -77 by -11 to get 7.

$$a=7$$