3(3m-21)=2(3m+3)

Solution for 3(3m-21)=2(3m+3) equation:

Simplifying
3(3m + -21) = 2(3m + 3)

Reorder the terms:
3(-21 + 3m) = 2(3m + 3)
(-21 * 3 + 3m * 3) = 2(3m + 3)
(-63 + 9m) = 2(3m + 3)

Reorder the terms:
-63 + 9m = 2(3 + 3m)
-63 + 9m = (3 * 2 + 3m * 2)
-63 + 9m = (6 + 6m)

Solving
-63 + 9m = 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.
-63 + 9m + -6m = 6 + 6m + -6m

Combine like terms: 9m + -6m = 3m
-63 + 3m = 6 + 6m + -6m

Combine like terms: 6m + -6m = 0
-63 + 3m = 6 + 0
-63 + 3m = 6

Add '63' to each side of the equation.
-63 + 63 + 3m = 6 + 63

Combine like terms: -63 + 63 = 0
0 + 3m = 6 + 63
3m = 6 + 63

Combine like terms: 6 + 63 = 69
3m = 69

Divide each side by '3'.
m = 23

Simplifying
m = 23