Solve for x
x = \frac{1115}{11} = 101\frac{4}{11} \approx 101.363636364
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\left(x+108\right)\times 0.2=\left(x+10\right)\times 0.376
Variable x cannot be equal to any of the values -108,-10 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+10\right)\left(x+108\right), the least common multiple of 20+2x,2\left(108+x\right).
0.2x+21.6=\left(x+10\right)\times 0.376
Use the distributive property to multiply x+108 by 0.2.
0.2x+21.6=0.376x+3.76
Use the distributive property to multiply x+10 by 0.376.
0.2x+21.6-0.376x=3.76
Subtract 0.376x from both sides.
-0.176x+21.6=3.76
Combine 0.2x and -0.376x to get -0.176x.
-0.176x=3.76-21.6
Subtract 21.6 from both sides.
-0.176x=-17.84
Subtract 21.6 from 3.76 to get -17.84.
x=\frac{-17.84}{-0.176}
Divide both sides by -0.176.
x=\frac{-17840}{-176}
Expand \frac{-17.84}{-0.176} by multiplying both numerator and the denominator by 1000.
x=\frac{1115}{11}
Reduce the fraction \frac{-17840}{-176} to lowest terms by extracting and canceling out -16.
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