2m+8+2(2m-3)=(m+3)

Solution for 2m+8+2(2m-3)=(m+3) equation:

Simplifying
2m + 8 + 2(2m + -3) = (m + 3)

Reorder the terms:
2m + 8 + 2(-3 + 2m) = (m + 3)
2m + 8 + (-3 * 2 + 2m * 2) = (m + 3)
2m + 8 + (-6 + 4m) = (m + 3)

Reorder the terms:
8 + -6 + 2m + 4m = (m + 3)

Combine like terms: 8 + -6 = 2
2 + 2m + 4m = (m + 3)

Combine like terms: 2m + 4m = 6m
2 + 6m = (m + 3)

Reorder the terms:
2 + 6m = (3 + m)

Remove parenthesis around (3 + m)
2 + 6m = 3 + m

Solving
2 + 6m = 3 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
2 + 6m + -1m = 3 + m + -1m

Combine like terms: 6m + -1m = 5m
2 + 5m = 3 + m + -1m

Combine like terms: m + -1m = 0
2 + 5m = 3 + 0
2 + 5m = 3

Add '-2' to each side of the equation.
2 + -2 + 5m = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 5m = 3 + -2
5m = 3 + -2

Combine like terms: 3 + -2 = 1
5m = 1

Divide each side by '5'.
m = 0.2

Simplifying
m = 0.2