Solve for x
x=\frac{10\sqrt{2}-19}{23}\approx -0.211211495
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5x+5=\sqrt{2}\left(x+3\right)
Use the distributive property to multiply 5 by x+1.
5x+5=\sqrt{2}x+3\sqrt{2}
Use the distributive property to multiply \sqrt{2} by x+3.
5x+5-\sqrt{2}x=3\sqrt{2}
Subtract \sqrt{2}x from both sides.
5x-\sqrt{2}x=3\sqrt{2}-5
Subtract 5 from both sides.
\left(5-\sqrt{2}\right)x=3\sqrt{2}-5
Combine all terms containing x.
\frac{\left(5-\sqrt{2}\right)x}{5-\sqrt{2}}=\frac{3\sqrt{2}-5}{5-\sqrt{2}}
Divide both sides by 5-\sqrt{2}.
x=\frac{3\sqrt{2}-5}{5-\sqrt{2}}
Dividing by 5-\sqrt{2} undoes the multiplication by 5-\sqrt{2}.
x=\frac{10\sqrt{2}-19}{23}
Divide 3\sqrt{2}-5 by 5-\sqrt{2}.
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