Solve 12x-10/12x-24=308

$$\frac{ 12x-10 }{ 12x-24 } =308$$

Solve for x

$$x = \frac{3691}{1842} = 2\frac{7}{1842} \approx 2.003800217$$

Steps for Solving Linear Equation

Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 12\left(x-2\right).

$$12x-10=3696\left(x-2\right)$$

Use the distributive property to multiply 3696 by x-2.

$$12x-10=3696x-7392$$

Subtract 3696x from both sides.

$$12x-10-3696x=-7392$$

Combine 12x and -3696x to get -3684x.

$$-3684x-10=-7392$$

Add 10 to both sides.

$$-3684x=-7392+10$$

Add -7392 and 10 to get -7382.

$$-3684x=-7382$$

Divide both sides by -3684.

$$x=\frac{-7382}{-3684}$$

Reduce the fraction \frac{-7382}{-3684} to lowest terms by extracting and canceling out -2.

$$x=\frac{3691}{1842}$$