Solve 102+x/168+x=0.168

$$\frac { 102 + x } { 168 + x } = 0.168$$

Solve for x

$$x = -\frac{4611}{52} = -88\frac{35}{52} \approx -88.673076923$$

Steps for Solving Linear Equation

Variable x cannot be equal to -168 since division by zero is not defined. Multiply both sides of the equation by x+168.

$$102+x=0.168\left(x+168\right)$$

Use the distributive property to multiply 0.168 by x+168.

$$102+x=0.168x+28.224$$

Subtract 0.168x from both sides.

$$102+x-0.168x=28.224$$

Combine x and -0.168x to get 0.832x.

$$102+0.832x=28.224$$

Subtract 102 from both sides.

$$0.832x=28.224-102$$

Subtract 102 from 28.224 to get -73.776.

$$0.832x=-73.776$$

Divide both sides by 0.832.

$$x=\frac{-73.776}{0.832}$$

Expand \frac{-73.776}{0.832} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-73776}{832}$$

Reduce the fraction \frac{-73776}{832} to lowest terms by extracting and canceling out 16.

$$x=-\frac{4611}{52}$$