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3x=2\left(x+50\right)
Variable x cannot be equal to -50 since division by zero is not defined. Multiply both sides of the equation by 4\left(x+50\right), the least common multiple of 200+4x,2.
3x=2x+100
Use the distributive property to multiply 2 by x+50.
3x-2x=100
Subtract 2x from both sides.
x=100
Combine 3x and -2x to get x.