0.4(m-2)+0.2=0.2(6m-3)

Solution for 0.4(m-2)+0.2=0.2(6m-3) equation:

Simplifying
0.4(m + -2) + 0.2 = 0.2(6m + -3)

Reorder the terms:
0.4(-2 + m) + 0.2 = 0.2(6m + -3)
(-2 * 0.4 + m * 0.4) + 0.2 = 0.2(6m + -3)
(-0.8 + 0.4m) + 0.2 = 0.2(6m + -3)

Reorder the terms:
-0.8 + 0.2 + 0.4m = 0.2(6m + -3)

Combine like terms: -0.8 + 0.2 = -0.6
-0.6 + 0.4m = 0.2(6m + -3)

Reorder the terms:
-0.6 + 0.4m = 0.2(-3 + 6m)
-0.6 + 0.4m = (-3 * 0.2 + 6m * 0.2)
-0.6 + 0.4m = (-0.6 + 1.2m)

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.4m = -0.6 + 0.6 + 1.2m

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.4m = -0.6 + 0.6 + 1.2m
0.4m = -0.6 + 0.6 + 1.2m

Combine like terms: -0.6 + 0.6 = 0.0
0.4m = 0.0 + 1.2m
0.4m = 1.2m

Solving
0.4m = 1.2m

Solving for variable 'm'.

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

Add '-1.2m' to each side of the equation.
0.4m + -1.2m = 1.2m + -1.2m

Combine like terms: 0.4m + -1.2m = -0.8m
-0.8m = 1.2m + -1.2m

Combine like terms: 1.2m + -1.2m = 0.0
-0.8m = 0.0

Divide each side by '-0.8'.
m = 0

Simplifying
m = 0