0.75(8+e)=2-(1.25e)

Solution for 0.75(8+e)=2-(1.25e) equation:

Simplifying
0.75(8 + e) = 2 + -1(1.25e)
(8 * 0.75 + e * 0.75) = 2 + -1(1.25e)
(6 + 0.75e) = 2 + -1(1.25e)

Remove parenthesis around (1.25e)
6 + 0.75e = 2 + -1 * 1.25e

Multiply -1 * 1.25
6 + 0.75e = 2 + -1.25e

Solving
6 + 0.75e = 2 + -1.25e

Solving for variable 'e'.

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

Add '1.25e' to each side of the equation.
6 + 0.75e + 1.25e = 2 + -1.25e + 1.25e

Combine like terms: 0.75e + 1.25e = 2e
6 + 2e = 2 + -1.25e + 1.25e

Combine like terms: -1.25e + 1.25e = 0.00
6 + 2e = 2 + 0.00
6 + 2e = 2

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

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

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

Divide each side by '2'.
e = -2

Simplifying
e = -2