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

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

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

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

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

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

Solving for variable 'm'.

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

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

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

Combine like terms: -1m + m = 0
-6 + 4m = -1 + 0
-6 + 4m = -1

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

Combine like terms: -6 + 6 = 0
0 + 4m = -1 + 6
4m = -1 + 6

Combine like terms: -1 + 6 = 5
4m = 5

Divide each side by '4'.
m = 1.25

Simplifying
m = 1.25