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\sqrt{2}x+12=48
Multiply 5 and 2.4 to get 12.
\sqrt{2}x=48-12
Subtract 12 from both sides.
\sqrt{2}x=36
Subtract 12 from 48 to get 36.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{36}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{36}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=18\sqrt{2}
Divide 36 by \sqrt{2}.