Solve for x
x=75
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Linear Equation
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\frac{ 22500+100x }{ 32000+140x } = \frac{ 39000 }{ 55250 }
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5525\left(22500+100x\right)=\left(14x+3200\right)\times 39000
Variable x cannot be equal to -\frac{1600}{7} since division by zero is not defined. Multiply both sides of the equation by 110500\left(7x+1600\right), the least common multiple of 32000+140x,55250.
124312500+552500x=\left(14x+3200\right)\times 39000
Use the distributive property to multiply 5525 by 22500+100x.
124312500+552500x=546000x+124800000
Use the distributive property to multiply 14x+3200 by 39000.
124312500+552500x-546000x=124800000
Subtract 546000x from both sides.
124312500+6500x=124800000
Combine 552500x and -546000x to get 6500x.
6500x=124800000-124312500
Subtract 124312500 from both sides.
6500x=487500
Subtract 124312500 from 124800000 to get 487500.
x=\frac{487500}{6500}
Divide both sides by 6500.
x=75
Divide 487500 by 6500 to get 75.
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