2(m+5)=(m+3)

Solution for 2(m+5)=(m+3) equation:

Simplifying
2(m + 5) = (m + 3)

Reorder the terms:
2(5 + m) = (m + 3)
(5 * 2 + m * 2) = (m + 3)
(10 + 2m) = (m + 3)

Reorder the terms:
10 + 2m = (3 + m)

Remove parenthesis around (3 + m)
10 + 2m = 3 + m

Solving
10 + 2m = 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.
10 + 2m + -1m = 3 + m + -1m

Combine like terms: 2m + -1m = 1m
10 + 1m = 3 + m + -1m

Combine like terms: m + -1m = 0
10 + 1m = 3 + 0
10 + 1m = 3

Add '-10' to each side of the equation.
10 + -10 + 1m = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 1m = 3 + -10
1m = 3 + -10

Combine like terms: 3 + -10 = -7
1m = -7

Divide each side by '1'.
m = -7

Simplifying
m = -7