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7+\sqrt{9x}=10
Swap sides so that all variable terms are on the left hand side.
\sqrt{9x}=10-7
Subtract 7 from both sides.
\sqrt{9x}=3
Subtract 7 from 10 to get 3.
9x=9
Square both sides of the equation.
\frac{9x}{9}=\frac{9}{9}
Divide both sides by 9.
x=\frac{9}{9}
Dividing by 9 undoes the multiplication by 9.
x=1
Divide 9 by 9.