2(2e+3)=4(4e+a)

Solution for 2(2e+3)=4(4e+a) equation:

Simplifying
2(2e + 3) = 4(4e + a)

Reorder the terms:
2(3 + 2e) = 4(4e + a)
(3 * 2 + 2e * 2) = 4(4e + a)
(6 + 4e) = 4(4e + a)

Reorder the terms:
6 + 4e = 4(a + 4e)
6 + 4e = (a * 4 + 4e * 4)
6 + 4e = (4a + 16e)

Solving
6 + 4e = 4a + 16e

Solving for variable 'e'.

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

Add '-16e' to each side of the equation.
6 + 4e + -16e = 4a + 16e + -16e

Combine like terms: 4e + -16e = -12e
6 + -12e = 4a + 16e + -16e

Combine like terms: 16e + -16e = 0
6 + -12e = 4a + 0
6 + -12e = 4a

Add '-6' to each side of the equation.
6 + -6 + -12e = -6 + 4a

Combine like terms: 6 + -6 = 0
0 + -12e = -6 + 4a
-12e = -6 + 4a

Divide each side by '-12'.
e = 0.5 + -0.3333333333a

Simplifying
e = 0.5 + -0.3333333333a