1-2(e-1)=-3-4(3-5)

Solution for 1-2(e-1)=-3-4(3-5) equation:

Simplifying
1 + -2(e + -1) = -3 + -4(3 + -5)

Reorder the terms:
1 + -2(-1 + e) = -3 + -4(3 + -5)
1 + (-1 * -2 + e * -2) = -3 + -4(3 + -5)
1 + (2 + -2e) = -3 + -4(3 + -5)

Combine like terms: 1 + 2 = 3
3 + -2e = -3 + -4(3 + -5)

Combine like terms: 3 + -5 = -2
3 + -2e = -3 + -4(-2)

Multiply -4 * -2
3 + -2e = -3 + 8

Combine like terms: -3 + 8 = 5
3 + -2e = 5

Solving
3 + -2e = 5

Solving for variable 'e'.

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

Add '-3' to each side of the equation.
3 + -3 + -2e = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -2e = 5 + -3
-2e = 5 + -3

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

Divide each side by '-2'.
e = -1

Simplifying
e = -1