Solve 4x+6000/5x+6+x+6=48/5

$$\frac { 4 x + 6000 } { 5 x + 6 + x + 6 } = \frac { 48 } { 5 }$$

Solve for x

$$x = \frac{7356}{67} = 109\frac{53}{67} \approx 109.791044776$$

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 30\left(x+2\right), the least common multiple of 5x+6+x+6,5.

$$5\left(4x+6000\right)=288\left(x+2\right)$$

Use the distributive property to multiply 5 by 4x+6000.

$$20x+30000=288\left(x+2\right)$$

Use the distributive property to multiply 288 by x+2.

$$20x+30000=288x+576$$

Subtract 288x from both sides.

$$20x+30000-288x=576$$

Combine 20x and -288x to get -268x.

$$-268x+30000=576$$

Subtract 30000 from both sides.

$$-268x=576-30000$$

Subtract 30000 from 576 to get -29424.

$$-268x=-29424$$

Divide both sides by -268.

$$x=\frac{-29424}{-268}$$

Reduce the fraction \frac{-29424}{-268} to lowest terms by extracting and canceling out -4.

$$x=\frac{7356}{67}$$