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

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

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

Reorder the terms:
3(-5 + m) = 6(m + 1)
(-5 * 3 + m * 3) = 6(m + 1)
(-15 + 3m) = 6(m + 1)

Reorder the terms:
-15 + 3m = 6(1 + m)
-15 + 3m = (1 * 6 + m * 6)
-15 + 3m = (6 + 6m)

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

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

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

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

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

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

Divide each side by '-3'.
m = -7

Simplifying
m = -7