Solve 10/0.48=5x/5+x+95

$$\frac { 10 } { 0.48 } = \frac { 5 x } { 5 + x } + 95$$

Solve for x

$$x = -\frac{89}{19} = -4\frac{13}{19} \approx -4.684210526$$

Steps for Solving Linear Equation

Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by x+5.

$$\left(x+5\right)\times \frac{10}{0.48}=5x+\left(x+5\right)\times 95$$

Expand \frac{10}{0.48} by multiplying both numerator and the denominator by 100.

$$\left(x+5\right)\times \frac{1000}{48}=5x+\left(x+5\right)\times 95$$

Reduce the fraction \frac{1000}{48} to lowest terms by extracting and canceling out 8.

$$\left(x+5\right)\times \frac{125}{6}=5x+\left(x+5\right)\times 95$$

Use the distributive property to multiply x+5 by \frac{125}{6}.

$$\frac{125}{6}x+\frac{625}{6}=5x+\left(x+5\right)\times 95$$

Use the distributive property to multiply x+5 by 95.

$$\frac{125}{6}x+\frac{625}{6}=5x+95x+475$$

Combine 5x and 95x to get 100x.

$$\frac{125}{6}x+\frac{625}{6}=100x+475$$

Subtract 100x from both sides.

$$\frac{125}{6}x+\frac{625}{6}-100x=475$$

Combine \frac{125}{6}x and -100x to get -\frac{475}{6}x.

$$-\frac{475}{6}x+\frac{625}{6}=475$$

Subtract \frac{625}{6} from both sides.

$$-\frac{475}{6}x=475-\frac{625}{6}$$

Subtract \frac{625}{6} from 475 to get \frac{2225}{6}.

$$-\frac{475}{6}x=\frac{2225}{6}$$

Multiply both sides by -\frac{6}{475}, the reciprocal of -\frac{475}{6}.

$$x=\frac{2225}{6}\left(-\frac{6}{475}\right)$$

Multiply \frac{2225}{6} and -\frac{6}{475} to get -\frac{89}{19}.

$$x=-\frac{89}{19}$$