3(m+1)+2(2m-3)=5(m-1)+8

Solution for 3(m+1)+2(2m-3)=5(m-1)+8 equation:

Simplifying
3(m + 1) + 2(2m + -3) = 5(m + -1) + 8

Reorder the terms:
3(1 + m) + 2(2m + -3) = 5(m + -1) + 8
(1 * 3 + m * 3) + 2(2m + -3) = 5(m + -1) + 8
(3 + 3m) + 2(2m + -3) = 5(m + -1) + 8

Reorder the terms:
3 + 3m + 2(-3 + 2m) = 5(m + -1) + 8
3 + 3m + (-3 * 2 + 2m * 2) = 5(m + -1) + 8
3 + 3m + (-6 + 4m) = 5(m + -1) + 8

Reorder the terms:
3 + -6 + 3m + 4m = 5(m + -1) + 8

Combine like terms: 3 + -6 = -3
-3 + 3m + 4m = 5(m + -1) + 8

Combine like terms: 3m + 4m = 7m
-3 + 7m = 5(m + -1) + 8

Reorder the terms:
-3 + 7m = 5(-1 + m) + 8
-3 + 7m = (-1 * 5 + m * 5) + 8
-3 + 7m = (-5 + 5m) + 8

Reorder the terms:
-3 + 7m = -5 + 8 + 5m

Combine like terms: -5 + 8 = 3
-3 + 7m = 3 + 5m

Solving
-3 + 7m = 3 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-3 + 7m + -5m = 3 + 5m + -5m

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

Combine like terms: 5m + -5m = 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