Solve for x
x=\frac{\sqrt{2}}{2}\approx 0.707106781
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3+2=5x\sqrt{2}
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x.
5=5x\sqrt{2}
Add 3 and 2 to get 5.
5x\sqrt{2}=5
Swap sides so that all variable terms are on the left hand side.
5\sqrt{2}x=5
The equation is in standard form.
\frac{5\sqrt{2}x}{5\sqrt{2}}=\frac{5}{5\sqrt{2}}
Divide both sides by 5\sqrt{2}.
x=\frac{5}{5\sqrt{2}}
Dividing by 5\sqrt{2} undoes the multiplication by 5\sqrt{2}.
x=\frac{\sqrt{2}}{2}
Divide 5 by 5\sqrt{2}.
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