Solve for x
x = \frac{33849}{11} = 3077\frac{2}{11} \approx 3077.181818182
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7869\times 36=\left(x+1215\right)\times 66
Variable x cannot be equal to -1215 since division by zero is not defined. Multiply both sides of the equation by 7869\left(x+1215\right), the least common multiple of 1215+x,7869.
283284=\left(x+1215\right)\times 66
Multiply 7869 and 36 to get 283284.
283284=66x+80190
Use the distributive property to multiply x+1215 by 66.
66x+80190=283284
Swap sides so that all variable terms are on the left hand side.
66x=283284-80190
Subtract 80190 from both sides.
66x=203094
Subtract 80190 from 283284 to get 203094.
x=\frac{203094}{66}
Divide both sides by 66.
x=\frac{33849}{11}
Reduce the fraction \frac{203094}{66} to lowest terms by extracting and canceling out 6.
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