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\sqrt{9x+10}+5-5=15-5
Subtract 5 from both sides of the equation.
\sqrt{9x+10}=15-5
Subtracting 5 from itself leaves 0.
\sqrt{9x+10}=10
Subtract 5 from 15.
9x+10=100
Square both sides of the equation.
9x+10-10=100-10
Subtract 10 from both sides of the equation.
9x=100-10
Subtracting 10 from itself leaves 0.
9x=90
Subtract 10 from 100.
\frac{9x}{9}=\frac{90}{9}
Divide both sides by 9.
x=\frac{90}{9}
Dividing by 9 undoes the multiplication by 9.
x=10
Divide 90 by 9.