0.8(m+3)=0.6(m+5)

Solution for 0.8(m+3)=0.6(m+5) equation:

Simplifying
0.8(m + 3) = 0.6(m + 5)

Reorder the terms:
0.8(3 + m) = 0.6(m + 5)
(3 * 0.8 + m * 0.8) = 0.6(m + 5)
(2.4 + 0.8m) = 0.6(m + 5)

Reorder the terms:
2.4 + 0.8m = 0.6(5 + m)
2.4 + 0.8m = (5 * 0.6 + m * 0.6)
2.4 + 0.8m = (3 + 0.6m)

Solving
2.4 + 0.8m = 3 + 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.
2.4 + 0.8m + -0.6m = 3 + 0.6m + -0.6m

Combine like terms: 0.8m + -0.6m = 0.2m
2.4 + 0.2m = 3 + 0.6m + -0.6m

Combine like terms: 0.6m + -0.6m = 0.0
2.4 + 0.2m = 3 + 0.0
2.4 + 0.2m = 3

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 0.2m = 3 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 0.2m = 3 + -2.4
0.2m = 3 + -2.4

Combine like terms: 3 + -2.4 = 0.6
0.2m = 0.6

Divide each side by '0.2'.
m = 3

Simplifying
m = 3