2m-7(3+m)=m+3

Solution for 2m-7(3+m)=m+3 equation:

Simplifying
2m + -7(3 + m) = m + 3
2m + (3 * -7 + m * -7) = m + 3
2m + (-21 + -7m) = m + 3

Reorder the terms:
-21 + 2m + -7m = m + 3

Combine like terms: 2m + -7m = -5m
-21 + -5m = m + 3

Reorder the terms:
-21 + -5m = 3 + m

Solving
-21 + -5m = 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.
-21 + -5m + -1m = 3 + m + -1m

Combine like terms: -5m + -1m = -6m
-21 + -6m = 3 + m + -1m

Combine like terms: m + -1m = 0
-21 + -6m = 3 + 0
-21 + -6m = 3

Add '21' to each side of the equation.
-21 + 21 + -6m = 3 + 21

Combine like terms: -21 + 21 = 0
0 + -6m = 3 + 21
-6m = 3 + 21

Combine like terms: 3 + 21 = 24
-6m = 24

Divide each side by '-6'.
m = -4

Simplifying
m = -4