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

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

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

Reorder the terms:
6(-2 + m) = 3(m + 1)
(-2 * 6 + m * 6) = 3(m + 1)
(-12 + 6m) = 3(m + 1)

Reorder the terms:
-12 + 6m = 3(1 + m)
-12 + 6m = (1 * 3 + m * 3)
-12 + 6m = (3 + 3m)

Solving
-12 + 6m = 3 + 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.
-12 + 6m + -3m = 3 + 3m + -3m

Combine like terms: 6m + -3m = 3m
-12 + 3m = 3 + 3m + -3m

Combine like terms: 3m + -3m = 0
-12 + 3m = 3 + 0
-12 + 3m = 3

Add '12' to each side of the equation.
-12 + 12 + 3m = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 3m = 3 + 12
3m = 3 + 12

Combine like terms: 3 + 12 = 15
3m = 15

Divide each side by '3'.
m = 5

Simplifying
m = 5