Solve 6+x/100+x=0.16

$$\frac { 6 + x } { 100 + x } = 0.16$$

Solve for x

$$x = \frac{250}{21} = 11\frac{19}{21} \approx 11.904761905$$

Steps for Solving Linear Equation

Variable x cannot be equal to -100 since division by zero is not defined. Multiply both sides of the equation by x+100.

$$6+x=0.16\left(x+100\right)$$

Use the distributive property to multiply 0.16 by x+100.

$$6+x=0.16x+16$$

Subtract 0.16x from both sides.

$$6+x-0.16x=16$$

Combine x and -0.16x to get 0.84x.

$$6+0.84x=16$$

Subtract 6 from both sides.

$$0.84x=16-6$$

Subtract 6 from 16 to get 10.

$$0.84x=10$$

Divide both sides by 0.84.

$$x=\frac{10}{0.84}$$

Expand \frac{10}{0.84} by multiplying both numerator and the denominator by 100.

$$x=\frac{1000}{84}$$

Reduce the fraction \frac{1000}{84} to lowest terms by extracting and canceling out 4.

$$x=\frac{250}{21}$$