3(m+1)-2(2m-3)=15-m+3(3-m)

Solution for 3(m+1)-2(2m-3)=15-m+3(3-m) equation:

Simplifying
3(m + 1) + -2(2m + -3) = 15 + -1m + 3(3 + -1m)

Reorder the terms:
3(1 + m) + -2(2m + -3) = 15 + -1m + 3(3 + -1m)
(1 * 3 + m * 3) + -2(2m + -3) = 15 + -1m + 3(3 + -1m)
(3 + 3m) + -2(2m + -3) = 15 + -1m + 3(3 + -1m)

Reorder the terms:
3 + 3m + -2(-3 + 2m) = 15 + -1m + 3(3 + -1m)
3 + 3m + (-3 * -2 + 2m * -2) = 15 + -1m + 3(3 + -1m)
3 + 3m + (6 + -4m) = 15 + -1m + 3(3 + -1m)

Reorder the terms:
3 + 6 + 3m + -4m = 15 + -1m + 3(3 + -1m)

Combine like terms: 3 + 6 = 9
9 + 3m + -4m = 15 + -1m + 3(3 + -1m)

Combine like terms: 3m + -4m = -1m
9 + -1m = 15 + -1m + 3(3 + -1m)
9 + -1m = 15 + -1m + (3 * 3 + -1m * 3)
9 + -1m = 15 + -1m + (9 + -3m)

Reorder the terms:
9 + -1m = 15 + 9 + -1m + -3m

Combine like terms: 15 + 9 = 24
9 + -1m = 24 + -1m + -3m

Combine like terms: -1m + -3m = -4m
9 + -1m = 24 + -4m

Solving
9 + -1m = 24 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
9 + -1m + 4m = 24 + -4m + 4m

Combine like terms: -1m + 4m = 3m
9 + 3m = 24 + -4m + 4m

Combine like terms: -4m + 4m = 0
9 + 3m = 24 + 0
9 + 3m = 24

Add '-9' to each side of the equation.
9 + -9 + 3m = 24 + -9

Combine like terms: 9 + -9 = 0
0 + 3m = 24 + -9
3m = 24 + -9

Combine like terms: 24 + -9 = 15
3m = 15

Divide each side by '3'.
m = 5

Simplifying
m = 5