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

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

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

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

Reorder the terms:
-6 + 6m = 3(-5 + 3m)
-6 + 6m = (-5 * 3 + 3m * 3)
-6 + 6m = (-15 + 9m)

Solving
-6 + 6m = -15 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
-6 + 6m + -9m = -15 + 9m + -9m

Combine like terms: 6m + -9m = -3m
-6 + -3m = -15 + 9m + -9m

Combine like terms: 9m + -9m = 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 = -9
-3m = -9

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

Simplifying
m = 3