5-0.2(m-2)=3.6m+1.6

Solution for 5-0.2(m-2)=3.6m+1.6 equation:

Simplifying
5 + -0.2(m + -2) = 3.6m + 1.6

Reorder the terms:
5 + -0.2(-2 + m) = 3.6m + 1.6
5 + (-2 * -0.2 + m * -0.2) = 3.6m + 1.6
5 + (0.4 + -0.2m) = 3.6m + 1.6

Combine like terms: 5 + 0.4 = 5.4
5.4 + -0.2m = 3.6m + 1.6

Reorder the terms:
5.4 + -0.2m = 1.6 + 3.6m

Solving
5.4 + -0.2m = 1.6 + 3.6m

Solving for variable 'm'.

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

Add '-3.6m' to each side of the equation.
5.4 + -0.2m + -3.6m = 1.6 + 3.6m + -3.6m

Combine like terms: -0.2m + -3.6m = -3.8m
5.4 + -3.8m = 1.6 + 3.6m + -3.6m

Combine like terms: 3.6m + -3.6m = 0.0
5.4 + -3.8m = 1.6 + 0.0
5.4 + -3.8m = 1.6

Add '-5.4' to each side of the equation.
5.4 + -5.4 + -3.8m = 1.6 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + -3.8m = 1.6 + -5.4
-3.8m = 1.6 + -5.4

Combine like terms: 1.6 + -5.4 = -3.8
-3.8m = -3.8

Divide each side by '-3.8'.
m = 1

Simplifying
m = 1