0.75(8+e)=2-1.75e

Solution for 0.75(8+e)=2-1.75e equation:

Simplifying
0.75(8 + e) = 2 + -1.75e
(8 * 0.75 + e * 0.75) = 2 + -1.75e
(6 + 0.75e) = 2 + -1.75e

Solving
6 + 0.75e = 2 + -1.75e

Solving for variable 'e'.

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

Add '1.75e' to each side of the equation.
6 + 0.75e + 1.75e = 2 + -1.75e + 1.75e

Combine like terms: 0.75e + 1.75e = 2.5e
6 + 2.5e = 2 + -1.75e + 1.75e

Combine like terms: -1.75e + 1.75e = 0.00
6 + 2.5e = 2 + 0.00
6 + 2.5e = 2

Add '-6' to each side of the equation.
6 + -6 + 2.5e = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 2.5e = 2 + -6
2.5e = 2 + -6

Combine like terms: 2 + -6 = -4
2.5e = -4

Divide each side by '2.5'.
e = -1.6

Simplifying
e = -1.6