Solve 0.09*200+x/200+x=0.12

$$\frac{ 0.09 \times 200+x }{ 200+x } =0.12$$

Solve for x

$$x = \frac{75}{11} = 6\frac{9}{11} \approx 6.818181818$$

Steps for Solving Linear Equation

Variable x cannot be equal to -200 since division by zero is not defined. Multiply both sides of the equation by x+200.

$$0.09\times 200+x=0.12\left(x+200\right)$$

Multiply 0.09 and 200 to get 18.

$$18+x=0.12\left(x+200\right)$$

Use the distributive property to multiply 0.12 by x+200.

$$18+x=0.12x+24$$

Subtract 0.12x from both sides.

$$18+x-0.12x=24$$

Combine x and -0.12x to get 0.88x.

$$18+0.88x=24$$

Subtract 18 from both sides.

$$0.88x=24-18$$

Subtract 18 from 24 to get 6.

$$0.88x=6$$

Divide both sides by 0.88.

$$x=\frac{6}{0.88}$$

Expand \frac{6}{0.88} by multiplying both numerator and the denominator by 100.

$$x=\frac{600}{88}$$

Reduce the fraction \frac{600}{88} to lowest terms by extracting and canceling out 8.

$$x=\frac{75}{11}$$