6(2e-1)=3e+12

Solution for 6(2e-1)=3e+12 equation:

Simplifying
6(2e + -1) = 3e + 12

Reorder the terms:
6(-1 + 2e) = 3e + 12
(-1 * 6 + 2e * 6) = 3e + 12
(-6 + 12e) = 3e + 12

Reorder the terms:
-6 + 12e = 12 + 3e

Solving
-6 + 12e = 12 + 3e

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-3e' to each side of the equation.
-6 + 12e + -3e = 12 + 3e + -3e

Combine like terms: 12e + -3e = 9e
-6 + 9e = 12 + 3e + -3e

Combine like terms: 3e + -3e = 0
-6 + 9e = 12 + 0
-6 + 9e = 12

Add '6' to each side of the equation.
-6 + 6 + 9e = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 9e = 12 + 6
9e = 12 + 6

Combine like terms: 12 + 6 = 18
9e = 18

Divide each side by '9'.
e = 2

Simplifying
e = 2