Solve x+3/x+10003=0.09/260

$$\frac { x + 3 } { x + 10003 } = \frac { 0.09 } { 260 }$$

Solve for x

$$x=\frac{12027}{25991}\approx 0.462737101$$

Steps for Solving Linear Equation

Variable x cannot be equal to -10003 since division by zero is not defined. Multiply both sides of the equation by 260\left(x+10003\right), the least common multiple of x+10003,260.

$$260\left(x+3\right)=\left(x+10003\right)\times 0.09$$

Use the distributive property to multiply 260 by x+3.

$$260x+780=\left(x+10003\right)\times 0.09$$

Use the distributive property to multiply x+10003 by 0.09.

$$260x+780=0.09x+900.27$$

Subtract 0.09x from both sides.

$$260x+780-0.09x=900.27$$

Combine 260x and -0.09x to get 259.91x.

$$259.91x+780=900.27$$

Subtract 780 from both sides.

$$259.91x=900.27-780$$

Subtract 780 from 900.27 to get 120.27.

$$259.91x=120.27$$

Divide both sides by 259.91.

$$x=\frac{120.27}{259.91}$$

Expand \frac{120.27}{259.91} by multiplying both numerator and the denominator by 100.

$$x=\frac{12027}{25991}$$