6+2(3e-2)=4(1+e)

Solution for 6+2(3e-2)=4(1+e) equation:

Simplifying
6 + 2(3e + -2) = 4(1 + e)

Reorder the terms:
6 + 2(-2 + 3e) = 4(1 + e)
6 + (-2 * 2 + 3e * 2) = 4(1 + e)
6 + (-4 + 6e) = 4(1 + e)

Combine like terms: 6 + -4 = 2
2 + 6e = 4(1 + e)
2 + 6e = (1 * 4 + e * 4)
2 + 6e = (4 + 4e)

Solving
2 + 6e = 4 + 4e

Solving for variable 'e'.

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

Add '-4e' to each side of the equation.
2 + 6e + -4e = 4 + 4e + -4e

Combine like terms: 6e + -4e = 2e
2 + 2e = 4 + 4e + -4e

Combine like terms: 4e + -4e = 0
2 + 2e = 4 + 0
2 + 2e = 4

Add '-2' to each side of the equation.
2 + -2 + 2e = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 2e = 4 + -2
2e = 4 + -2

Combine like terms: 4 + -2 = 2
2e = 2

Divide each side by '2'.
e = 1

Simplifying
e = 1