Solve for x
x = \frac{82227}{2591} = 31\frac{1906}{2591} \approx 31.735623311
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260\left(x+3\right)=\left(x+10003\right)\times 0.9
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.
260x+780=\left(x+10003\right)\times 0.9
Use the distributive property to multiply 260 by x+3.
260x+780=0.9x+9002.7
Use the distributive property to multiply x+10003 by 0.9.
260x+780-0.9x=9002.7
Subtract 0.9x from both sides.
259.1x+780=9002.7
Combine 260x and -0.9x to get 259.1x.
259.1x=9002.7-780
Subtract 780 from both sides.
259.1x=8222.7
Subtract 780 from 9002.7 to get 8222.7.
x=\frac{8222.7}{259.1}
Divide both sides by 259.1.
x=\frac{82227}{2591}
Expand \frac{8222.7}{259.1} by multiplying both numerator and the denominator by 10.
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