Solve 3+x/9+x=50/100

$$\frac{ 3+x }{ 9+x } = \frac{ 50 }{ 100 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Variable x cannot be equal to -9 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+9\right), the least common multiple of 9+x,100.

$$100\left(3+x\right)=\left(x+9\right)\times 50$$

Use the distributive property to multiply 100 by 3+x.

$$300+100x=\left(x+9\right)\times 50$$

Use the distributive property to multiply x+9 by 50.

$$300+100x=50x+450$$

Subtract 50x from both sides.

$$300+100x-50x=450$$

Combine 100x and -50x to get 50x.

$$300+50x=450$$

Subtract 300 from both sides.

$$50x=450-300$$

Subtract 300 from 450 to get 150.

$$50x=150$$

Divide both sides by 50.

$$x=\frac{150}{50}$$

Divide 150 by 50 to get 3.

$$x=3$$