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6\sqrt{5}+12=24x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
24x=6\sqrt{5}+12
Swap sides so that all variable terms are on the left hand side.
\frac{24x}{24}=\frac{6\sqrt{5}+12}{24}
Divide both sides by 24.
x=\frac{6\sqrt{5}+12}{24}
Dividing by 24 undoes the multiplication by 24.
x=\frac{\sqrt{5}}{4}+\frac{1}{2}
Divide 6\sqrt{5}+12 by 24.