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2\left(83+80+86\right)=3x
Multiply both sides of the equation by 600, the least common multiple of 300,200.
2\left(163+86\right)=3x
Add 83 and 80 to get 163.
2\times 249=3x
Add 163 and 86 to get 249.
498=3x
Multiply 2 and 249 to get 498.
3x=498
Swap sides so that all variable terms are on the left hand side.
x=\frac{498}{3}
Divide both sides by 3.
x=166
Divide 498 by 3 to get 166.