Solve 185.5-x/8900+x/19300=15

$$\frac{ 185.5-x }{ 8900 } + \frac{ x }{ 19300 } =15$$

Solve for x

$$x = -\frac{51459397}{208} = -247400\frac{197}{208} \approx -247400.947115385$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1717700, the least common multiple of 8900,19300.

$$193\left(185.5-x\right)+89x=25765500$$

Use the distributive property to multiply 193 by 185.5-x.

$$35801.5-193x+89x=25765500$$

Combine -193x and 89x to get -104x.

$$35801.5-104x=25765500$$

Subtract 35801.5 from both sides.

$$-104x=25765500-35801.5$$

Subtract 35801.5 from 25765500 to get 25729698.5.

$$-104x=25729698.5$$

Divide both sides by -104.

$$x=\frac{25729698.5}{-104}$$

Expand \frac{25729698.5}{-104} by multiplying both numerator and the denominator by 10.

$$x=\frac{257296985}{-1040}$$

Reduce the fraction \frac{257296985}{-1040} to lowest terms by extracting and canceling out 5.

$$x=-\frac{51459397}{208}$$