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-2e-\left(-12\right)=-4\left(3x+5\right)
To find the opposite of 2e-12, find the opposite of each term.
-2e+12=-4\left(3x+5\right)
The opposite of -12 is 12.
-2e+12=-12x-20
Use the distributive property to multiply -4 by 3x+5.
-12x-20=-2e+12
Swap sides so that all variable terms are on the left hand side.
-12x=-2e+12+20
Add 20 to both sides.
-12x=-2e+32
Add 12 and 20 to get 32.
-12x=32-2e
The equation is in standard form.
\frac{-12x}{-12}=\frac{32-2e}{-12}
Divide both sides by -12.
x=\frac{32-2e}{-12}
Dividing by -12 undoes the multiplication by -12.
x=\frac{e}{6}-\frac{8}{3}
Divide -2e+32 by -12.