Solve for x
x=1911
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50\left(9.8+x\right)=49\left(x+49\right)
Variable x cannot be equal to -49 since division by zero is not defined. Multiply both sides of the equation by 50\left(x+49\right), the least common multiple of 49+x,50.
490+50x=49\left(x+49\right)
Use the distributive property to multiply 50 by 9.8+x.
490+50x=49x+2401
Use the distributive property to multiply 49 by x+49.
490+50x-49x=2401
Subtract 49x from both sides.
490+x=2401
Combine 50x and -49x to get x.
x=2401-490
Subtract 490 from both sides.
x=1911
Subtract 490 from 2401 to get 1911.
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