5e+1=2e-5

Solution for 5e+1=2e-5 equation:

Simplifying
5e + 1 = 2e + -5

Reorder the terms:
1 + 5e = 2e + -5

Reorder the terms:
1 + 5e = -5 + 2e

Solving
1 + 5e = -5 + 2e

Solving for variable 'e'.

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

Add '-2e' to each side of the equation.
1 + 5e + -2e = -5 + 2e + -2e

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

Combine like terms: 2e + -2e = 0
1 + 3e = -5 + 0
1 + 3e = -5

Add '-1' to each side of the equation.
1 + -1 + 3e = -5 + -1

Combine like terms: 1 + -1 = 0
0 + 3e = -5 + -1
3e = -5 + -1

Combine like terms: -5 + -1 = -6
3e = -6

Divide each side by '3'.
e = -2

Simplifying
e = -2