2m-3(m+1)=(m+3)

Solution for 2m-3(m+1)=(m+3) equation:

Simplifying
2m + -3(m + 1) = (m + 3)

Reorder the terms:
2m + -3(1 + m) = (m + 3)
2m + (1 * -3 + m * -3) = (m + 3)
2m + (-3 + -3m) = (m + 3)

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

Combine like terms: 2m + -3m = -1m
-3 + -1m = (m + 3)

Reorder the terms:
-3 + -1m = (3 + m)

Remove parenthesis around (3 + m)
-3 + -1m = 3 + m

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

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

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

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

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

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

Divide each side by '-2'.
m = -3

Simplifying
m = -3