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

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

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

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

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

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

Solving
4 + -1m = -3 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
4 + -1m + -6m = -3 + 6m + -6m

Combine like terms: -1m + -6m = -7m
4 + -7m = -3 + 6m + -6m

Combine like terms: 6m + -6m = 0
4 + -7m = -3 + 0
4 + -7m = -3

Add '-4' to each side of the equation.
4 + -4 + -7m = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -7m = -3 + -4
-7m = -3 + -4

Combine like terms: -3 + -4 = -7
-7m = -7

Divide each side by '-7'.
m = 1

Simplifying
m = 1