6-e^1(2x)=5.2

Solution for 6-e^1(2x)=5.2 equation:

Simplifying
6 + -1e(2x) = 5.2

Remove parenthesis around (2x)
6 + -1e * 2x = 5.2

Reorder the terms for easier multiplication:
6 + -1 * 2e * x = 5.2

Multiply -1 * 2
6 + -2e * x = 5.2

Multiply e * x
6 + -2ex = 5.2

Solving
6 + -2ex = 5.2

Solving for variable 'e'.

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

Add '-6' to each side of the equation.
6 + -6 + -2ex = 5.2 + -6

Combine like terms: 6 + -6 = 0
0 + -2ex = 5.2 + -6
-2ex = 5.2 + -6

Combine like terms: 5.2 + -6 = -0.8
-2ex = -0.8

Divide each side by '-2x'.
e = 0.4x-1

Simplifying
e = 0.4x-1