Solve for x
x=2
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\sqrt{3}x-2\sqrt{3}+2\sqrt{3}\left(x+1\right)=6\sqrt{3}
Use the distributive property to multiply \sqrt{3} by x-2.
\sqrt{3}x-2\sqrt{3}+2\sqrt{3}x+2\sqrt{3}=6\sqrt{3}
Use the distributive property to multiply 2\sqrt{3} by x+1.
3\sqrt{3}x-2\sqrt{3}+2\sqrt{3}=6\sqrt{3}
Combine \sqrt{3}x and 2\sqrt{3}x to get 3\sqrt{3}x.
3\sqrt{3}x=6\sqrt{3}
Combine -2\sqrt{3} and 2\sqrt{3} to get 0.
\frac{3\sqrt{3}x}{3\sqrt{3}}=\frac{6\sqrt{3}}{3\sqrt{3}}
Divide both sides by 3\sqrt{3}.
x=\frac{6\sqrt{3}}{3\sqrt{3}}
Dividing by 3\sqrt{3} undoes the multiplication by 3\sqrt{3}.
x=2
Divide 6\sqrt{3} by 3\sqrt{3}.
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