0.2(m-8)=0.3m+5-3+0.3m

Solution for 0.2(m-8)=0.3m+5-3+0.3m equation:

Simplifying
0.2(m + -8) = 0.3m + 5 + -3 + 0.3m

Reorder the terms:
0.2(-8 + m) = 0.3m + 5 + -3 + 0.3m
(-8 * 0.2 + m * 0.2) = 0.3m + 5 + -3 + 0.3m
(-1.6 + 0.2m) = 0.3m + 5 + -3 + 0.3m

Reorder the terms:
-1.6 + 0.2m = 5 + -3 + 0.3m + 0.3m

Combine like terms: 5 + -3 = 2
-1.6 + 0.2m = 2 + 0.3m + 0.3m

Combine like terms: 0.3m + 0.3m = 0.6m
-1.6 + 0.2m = 2 + 0.6m

Solving
-1.6 + 0.2m = 2 + 0.6m

Solving for variable 'm'.

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

Add '-0.6m' to each side of the equation.
-1.6 + 0.2m + -0.6m = 2 + 0.6m + -0.6m

Combine like terms: 0.2m + -0.6m = -0.4m
-1.6 + -0.4m = 2 + 0.6m + -0.6m

Combine like terms: 0.6m + -0.6m = 0.0
-1.6 + -0.4m = 2 + 0.0
-1.6 + -0.4m = 2

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.4m = 2 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.4m = 2 + 1.6
-0.4m = 2 + 1.6

Combine like terms: 2 + 1.6 = 3.6
-0.4m = 3.6

Divide each side by '-0.4'.
m = -9

Simplifying
m = -9