Solve 12x-10/12x-24=3.08

$$\frac{ 12x-10 }{ 12x-24 } =3.08$$

Solve for x

$$x = \frac{799}{312} = 2\frac{175}{312} \approx 2.560897436$$

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).

$$12x-10=36.96\left(x-2\right)$$

Use the distributive property to multiply 36.96 by x-2.

$$12x-10=36.96x-73.92$$

Subtract 36.96x from both sides.

$$12x-10-36.96x=-73.92$$

Combine 12x and -36.96x to get -24.96x.

$$-24.96x-10=-73.92$$

Add 10 to both sides.

$$-24.96x=-73.92+10$$

Add -73.92 and 10 to get -63.92.

$$-24.96x=-63.92$$

Divide both sides by -24.96.

$$x=\frac{-63.92}{-24.96}$$

Expand \frac{-63.92}{-24.96} by multiplying both numerator and the denominator by 100.

$$x=\frac{-6392}{-2496}$$

Reduce the fraction \frac{-6392}{-2496} to lowest terms by extracting and canceling out -8.

$$x=\frac{799}{312}$$