Solve 6.03/23+x=8.61/108+x

$$\frac{ 6.03 }{ 23+x } = \frac{ 8.61 }{ 108+x }$$

Solve for x

$$x = \frac{15107}{86} = 175\frac{57}{86} \approx 175.662790698$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -108,-23 since division by zero is not defined. Multiply both sides of the equation by \left(x+23\right)\left(x+108\right), the least common multiple of 23+x,108+x.

$$\left(x+108\right)\times 6.03=\left(x+23\right)\times 8.61$$

Use the distributive property to multiply x+108 by 6.03.

$$6.03x+651.24=\left(x+23\right)\times 8.61$$

Use the distributive property to multiply x+23 by 8.61.

$$6.03x+651.24=8.61x+198.03$$

Subtract 8.61x from both sides.

$$6.03x+651.24-8.61x=198.03$$

Combine 6.03x and -8.61x to get -2.58x.

$$-2.58x+651.24=198.03$$

Subtract 651.24 from both sides.

$$-2.58x=198.03-651.24$$

Subtract 651.24 from 198.03 to get -453.21.

$$-2.58x=-453.21$$

Divide both sides by -2.58.

$$x=\frac{-453.21}{-2.58}$$

Expand \frac{-453.21}{-2.58} by multiplying both numerator and the denominator by 100.

$$x=\frac{-45321}{-258}$$

Reduce the fraction \frac{-45321}{-258} to lowest terms by extracting and canceling out -3.

$$x=\frac{15107}{86}$$