m+2(9m-15)=3(6+m)

Solution for m+2(9m-15)=3(6+m) equation:

Simplifying
m + 2(9m + -15) = 3(6 + m)

Reorder the terms:
m + 2(-15 + 9m) = 3(6 + m)
m + (-15 * 2 + 9m * 2) = 3(6 + m)
m + (-30 + 18m) = 3(6 + m)

Reorder the terms:
-30 + m + 18m = 3(6 + m)

Combine like terms: m + 18m = 19m
-30 + 19m = 3(6 + m)
-30 + 19m = (6 * 3 + m * 3)
-30 + 19m = (18 + 3m)

Solving
-30 + 19m = 18 + 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.
-30 + 19m + -3m = 18 + 3m + -3m

Combine like terms: 19m + -3m = 16m
-30 + 16m = 18 + 3m + -3m

Combine like terms: 3m + -3m = 0
-30 + 16m = 18 + 0
-30 + 16m = 18

Add '30' to each side of the equation.
-30 + 30 + 16m = 18 + 30

Combine like terms: -30 + 30 = 0
0 + 16m = 18 + 30
16m = 18 + 30

Combine like terms: 18 + 30 = 48
16m = 48

Divide each side by '16'.
m = 3

Simplifying
m = 3