Solve 375/375+x=95/100

$$\frac{ 375 }{ 375+x } = \frac{ 95 }{ 100 }$$

Solve for x

$$x = \frac{375}{19} = 19\frac{14}{19} \approx 19.736842105$$

Steps for Solving Linear Equation

Variable x cannot be equal to -375 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+375\right), the least common multiple of 375+x,100.

$$100\times 375=\left(x+375\right)\times 95$$

Multiply 100 and 375 to get 37500.

$$37500=\left(x+375\right)\times 95$$

Use the distributive property to multiply x+375 by 95.

$$37500=95x+35625$$

Swap sides so that all variable terms are on the left hand side.

$$95x+35625=37500$$

Subtract 35625 from both sides.

$$95x=37500-35625$$

Subtract 35625 from 37500 to get 1875.

$$95x=1875$$

Divide both sides by 95.

$$x=\frac{1875}{95}$$

Reduce the fraction \frac{1875}{95} to lowest terms by extracting and canceling out 5.

$$x=\frac{375}{19}$$