0.75(8+e)=2-1.2e

Solution for 0.75(8+e)=2-1.2e equation:

Simplifying
0.75(8 + e) = 2 + -1.2e
(8 * 0.75 + e * 0.75) = 2 + -1.2e
(6 + 0.75e) = 2 + -1.2e

Solving
6 + 0.75e = 2 + -1.2e

Solving for variable 'e'.

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

Add '1.2e' to each side of the equation.
6 + 0.75e + 1.2e = 2 + -1.2e + 1.2e

Combine like terms: 0.75e + 1.2e = 1.95e
6 + 1.95e = 2 + -1.2e + 1.2e

Combine like terms: -1.2e + 1.2e = 0.0
6 + 1.95e = 2 + 0.0
6 + 1.95e = 2

Add '-6' to each side of the equation.
6 + -6 + 1.95e = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1.95e = 2 + -6
1.95e = 2 + -6

Combine like terms: 2 + -6 = -4
1.95e = -4

Divide each side by '1.95'.
e = -2.051282051

Simplifying
e = -2.051282051