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x\times 1.5-200=x\times 0.5
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 200x, the least common multiple of 200,x.
x\times 1.5-200-x\times 0.5=0
Subtract x\times 0.5 from both sides.
x-200=0
Combine x\times 1.5 and -x\times 0.5 to get x.
x=200
Add 200 to both sides. Anything plus zero gives itself.