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

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

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

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

Reorder the terms:
-6 + 6m = 3(5 + m)
-6 + 6m = (5 * 3 + m * 3)
-6 + 6m = (15 + 3m)

Solving
-6 + 6m = 15 + 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.
-6 + 6m + -3m = 15 + 3m + -3m

Combine like terms: 6m + -3m = 3m
-6 + 3m = 15 + 3m + -3m

Combine like terms: 3m + -3m = 0
-6 + 3m = 15 + 0
-6 + 3m = 15

Add '6' to each side of the equation.
-6 + 6 + 3m = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 3m = 15 + 6
3m = 15 + 6

Combine like terms: 15 + 6 = 21
3m = 21

Divide each side by '3'.
m = 7

Simplifying
m = 7