Solve for x
x=\frac{106025}{233532}\approx 0.454006303
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\left(x+100\right)\times 25446=5630214x
Variable x cannot be equal to -100 since division by zero is not defined. Multiply both sides of the equation by 5630214\left(x+100\right), the least common multiple of 5630214,100+x.
25446x+2544600=5630214x
Use the distributive property to multiply x+100 by 25446.
25446x+2544600-5630214x=0
Subtract 5630214x from both sides.
-5604768x+2544600=0
Combine 25446x and -5630214x to get -5604768x.
-5604768x=-2544600
Subtract 2544600 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2544600}{-5604768}
Divide both sides by -5604768.
x=\frac{106025}{233532}
Reduce the fraction \frac{-2544600}{-5604768} to lowest terms by extracting and canceling out -24.
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