4e-3(2e-2)=3(e+8)

Solution for 4e-3(2e-2)=3(e+8) equation:

Simplifying
4e + -3(2e + -2) = 3(e + 8)

Reorder the terms:
4e + -3(-2 + 2e) = 3(e + 8)
4e + (-2 * -3 + 2e * -3) = 3(e + 8)
4e + (6 + -6e) = 3(e + 8)

Reorder the terms:
6 + 4e + -6e = 3(e + 8)

Combine like terms: 4e + -6e = -2e
6 + -2e = 3(e + 8)

Reorder the terms:
6 + -2e = 3(8 + e)
6 + -2e = (8 * 3 + e * 3)
6 + -2e = (24 + 3e)

Solving
6 + -2e = 24 + 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 + -2e + -3e = 24 + 3e + -3e

Combine like terms: -2e + -3e = -5e
6 + -5e = 24 + 3e + -3e

Combine like terms: 3e + -3e = 0
6 + -5e = 24 + 0
6 + -5e = 24

Add '-6' to each side of the equation.
6 + -6 + -5e = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -5e = 24 + -6
-5e = 24 + -6

Combine like terms: 24 + -6 = 18
-5e = 18

Divide each side by '-5'.
e = -3.6

Simplifying
e = -3.6