5(m+1)+6=3(4+m)+(2-1)

Solution for 5(m+1)+6=3(4+m)+(2-1) equation:

Simplifying
5(m + 1) + 6 = 3(4 + m) + (2 + -1)

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

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

Combine like terms: 5 + 6 = 11
11 + 5m = 3(4 + m) + (2 + -1)
11 + 5m = (4 * 3 + m * 3) + (2 + -1)
11 + 5m = (12 + 3m) + (2 + -1)

Combine like terms: 2 + -1 = 1
11 + 5m = 12 + 3m + (1)
11 + 5m = 12 + 3m + 1

Reorder the terms:
11 + 5m = 12 + 1 + 3m

Combine like terms: 12 + 1 = 13
11 + 5m = 13 + 3m

Solving
11 + 5m = 13 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
11 + 5m + -3m = 13 + 3m + -3m

Combine like terms: 5m + -3m = 2m
11 + 2m = 13 + 3m + -3m

Combine like terms: 3m + -3m = 0
11 + 2m = 13 + 0
11 + 2m = 13

Add '-11' to each side of the equation.
11 + -11 + 2m = 13 + -11

Combine like terms: 11 + -11 = 0
0 + 2m = 13 + -11
2m = 13 + -11

Combine like terms: 13 + -11 = 2
2m = 2

Divide each side by '2'.
m = 1

Simplifying
m = 1