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

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

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

Reorder the terms:
2(8 + m) = 3(2m + -1) + m + -1
(8 * 2 + m * 2) = 3(2m + -1) + m + -1
(16 + 2m) = 3(2m + -1) + m + -1

Reorder the terms:
16 + 2m = 3(-1 + 2m) + m + -1
16 + 2m = (-1 * 3 + 2m * 3) + m + -1
16 + 2m = (-3 + 6m) + m + -1

Reorder the terms:
16 + 2m = -3 + -1 + 6m + m

Combine like terms: -3 + -1 = -4
16 + 2m = -4 + 6m + m

Combine like terms: 6m + m = 7m
16 + 2m = -4 + 7m

Solving
16 + 2m = -4 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
16 + 2m + -7m = -4 + 7m + -7m

Combine like terms: 2m + -7m = -5m
16 + -5m = -4 + 7m + -7m

Combine like terms: 7m + -7m = 0
16 + -5m = -4 + 0
16 + -5m = -4

Add '-16' to each side of the equation.
16 + -16 + -5m = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -5m = -4 + -16
-5m = -4 + -16

Combine like terms: -4 + -16 = -20
-5m = -20

Divide each side by '-5'.
m = 4

Simplifying
m = 4