Solve for x
x=\frac{3\sqrt{2}+1}{17}\approx 0.308390629
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2+3\sqrt{2}x-x=3
Subtract x from both sides.
3\sqrt{2}x-x=3-2
Subtract 2 from both sides.
3\sqrt{2}x-x=1
Subtract 2 from 3 to get 1.
\left(3\sqrt{2}-1\right)x=1
Combine all terms containing x.
\frac{\left(3\sqrt{2}-1\right)x}{3\sqrt{2}-1}=\frac{1}{3\sqrt{2}-1}
Divide both sides by 3\sqrt{2}-1.
x=\frac{1}{3\sqrt{2}-1}
Dividing by 3\sqrt{2}-1 undoes the multiplication by 3\sqrt{2}-1.
x=\frac{3\sqrt{2}+1}{17}
Divide 1 by 3\sqrt{2}-1.
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