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

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

Simplifying
-2(m + -3) = 7 + -1(m + 2)

Reorder the terms:
-2(-3 + m) = 7 + -1(m + 2)
(-3 * -2 + m * -2) = 7 + -1(m + 2)
(6 + -2m) = 7 + -1(m + 2)

Reorder the terms:
6 + -2m = 7 + -1(2 + m)
6 + -2m = 7 + (2 * -1 + m * -1)
6 + -2m = 7 + (-2 + -1m)

Combine like terms: 7 + -2 = 5
6 + -2m = 5 + -1m

Solving
6 + -2m = 5 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
6 + -2m + m = 5 + -1m + m

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

Combine like terms: -1m + m = 0
6 + -1m = 5 + 0
6 + -1m = 5

Add '-6' to each side of the equation.
6 + -6 + -1m = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 5 + -6
-1m = 5 + -6

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

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

Simplifying
m = 1