Solve for x
x=4014
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2015028\left(x-2\right)+2014024x+2013021\left(x+2\right)=24252877008
Multiply both sides of the equation by 4042146168, the least common multiple of 2006,2007,2008.
2015028x-4030056+2014024x+2013021\left(x+2\right)=24252877008
Use the distributive property to multiply 2015028 by x-2.
4029052x-4030056+2013021\left(x+2\right)=24252877008
Combine 2015028x and 2014024x to get 4029052x.
4029052x-4030056+2013021x+4026042=24252877008
Use the distributive property to multiply 2013021 by x+2.
6042073x-4030056+4026042=24252877008
Combine 4029052x and 2013021x to get 6042073x.
6042073x-4014=24252877008
Add -4030056 and 4026042 to get -4014.
6042073x=24252877008+4014
Add 4014 to both sides.
6042073x=24252881022
Add 24252877008 and 4014 to get 24252881022.
x=\frac{24252881022}{6042073}
Divide both sides by 6042073.
x=4014
Divide 24252881022 by 6042073 to get 4014.
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