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\frac{5}{3}\times 3^{\frac{1}{2}}=100+x
Multiply both sides of the equation by 5.
100+x=\frac{5}{3}\times 3^{\frac{1}{2}}
Swap sides so that all variable terms are on the left hand side.
x=\frac{5}{3}\times 3^{\frac{1}{2}}-100
Subtract 100 from both sides.
x=\frac{5}{3}\sqrt{3}-100
Reorder the terms.