3(m+3)-6=18m-(2m-3)

Solution for 3(m+3)-6=18m-(2m-3) equation:

Simplifying
3(m + 3) + -6 = 18m + -1(2m + -3)

Reorder the terms:
3(3 + m) + -6 = 18m + -1(2m + -3)
(3 * 3 + m * 3) + -6 = 18m + -1(2m + -3)
(9 + 3m) + -6 = 18m + -1(2m + -3)

Reorder the terms:
9 + -6 + 3m = 18m + -1(2m + -3)

Combine like terms: 9 + -6 = 3
3 + 3m = 18m + -1(2m + -3)

Reorder the terms:
3 + 3m = 18m + -1(-3 + 2m)
3 + 3m = 18m + (-3 * -1 + 2m * -1)
3 + 3m = 18m + (3 + -2m)

Reorder the terms:
3 + 3m = 3 + 18m + -2m

Combine like terms: 18m + -2m = 16m
3 + 3m = 3 + 16m

Add '-3' to each side of the equation.
3 + -3 + 3m = 3 + -3 + 16m

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

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

Solving
3m = 16m

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
3m + -16m = 16m + -16m

Combine like terms: 3m + -16m = -13m
-13m = 16m + -16m

Combine like terms: 16m + -16m = 0
-13m = 0

Divide each side by '-13'.
m = 0

Simplifying
m = 0