0.2(e-1)=0.1(e+3)

Solution for 0.2(e-1)=0.1(e+3) equation:

Simplifying
0.2(e + -1) = 0.1(e + 3)

Reorder the terms:
0.2(-1 + e) = 0.1(e + 3)
(-1 * 0.2 + e * 0.2) = 0.1(e + 3)
(-0.2 + 0.2e) = 0.1(e + 3)

Reorder the terms:
-0.2 + 0.2e = 0.1(3 + e)
-0.2 + 0.2e = (3 * 0.1 + e * 0.1)
-0.2 + 0.2e = (0.3 + 0.1e)

Solving
-0.2 + 0.2e = 0.3 + 0.1e

Solving for variable 'e'.

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

Add '-0.1e' to each side of the equation.
-0.2 + 0.2e + -0.1e = 0.3 + 0.1e + -0.1e

Combine like terms: 0.2e + -0.1e = 0.1e
-0.2 + 0.1e = 0.3 + 0.1e + -0.1e

Combine like terms: 0.1e + -0.1e = 0.0
-0.2 + 0.1e = 0.3 + 0.0
-0.2 + 0.1e = 0.3

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.1e = 0.3 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.1e = 0.3 + 0.2
0.1e = 0.3 + 0.2

Combine like terms: 0.3 + 0.2 = 0.5
0.1e = 0.5

Divide each side by '0.1'.
e = 5

Simplifying
e = 5