Solve for x
x=234
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100\left(256+x\right)=\left(x+266\right)\times 98
Variable x cannot be equal to -266 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+266\right), the least common multiple of 266+x,100.
25600+100x=\left(x+266\right)\times 98
Use the distributive property to multiply 100 by 256+x.
25600+100x=98x+26068
Use the distributive property to multiply x+266 by 98.
25600+100x-98x=26068
Subtract 98x from both sides.
25600+2x=26068
Combine 100x and -98x to get 2x.
2x=26068-25600
Subtract 25600 from both sides.
2x=468
Subtract 25600 from 26068 to get 468.
x=\frac{468}{2}
Divide both sides by 2.
x=234
Divide 468 by 2 to get 234.
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