Solve 6a-2/a-1-2/a-1=8

$$\frac { 6 a - 2 } { a - 1 } - \frac { 2 } { a - 1 } = 8$$

Solve for a

$$a=2$$

Steps for Solving Linear Equation

Variable a cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by a-1.

$$6a-2-2=8\left(a-1\right)$$

Subtract 2 from -2 to get -4.

$$6a-4=8\left(a-1\right)$$

Use the distributive property to multiply 8 by a-1.

$$6a-4=8a-8$$

Subtract 8a from both sides.

$$6a-4-8a=-8$$

Combine 6a and -8a to get -2a.

$$-2a-4=-8$$

Add 4 to both sides.

$$-2a=-8+4$$

Add -8 and 4 to get -4.

$$-2a=-4$$

Divide both sides by -2.

$$a=\frac{-4}{-2}$$

Divide -4 by -2 to get 2.

$$a=2$$