3[6-(m+9)]-10=2(3+m)

Solution for 3[6-(m+9)]-10=2(3+m) equation:

Simplifying
3[6 + -1(m + 9)] + -10 = 2(3 + m)

Reorder the terms:
3[6 + -1(9 + m)] + -10 = 2(3 + m)
3[6 + (9 * -1 + m * -1)] + -10 = 2(3 + m)
3[6 + (-9 + -1m)] + -10 = 2(3 + m)

Combine like terms: 6 + -9 = -3
3[-3 + -1m] + -10 = 2(3 + m)
[-3 * 3 + -1m * 3] + -10 = 2(3 + m)
[-9 + -3m] + -10 = 2(3 + m)

Reorder the terms:
-9 + -10 + -3m = 2(3 + m)

Combine like terms: -9 + -10 = -19
-19 + -3m = 2(3 + m)
-19 + -3m = (3 * 2 + m * 2)
-19 + -3m = (6 + 2m)

Solving
-19 + -3m = 6 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-19 + -3m + -2m = 6 + 2m + -2m

Combine like terms: -3m + -2m = -5m
-19 + -5m = 6 + 2m + -2m

Combine like terms: 2m + -2m = 0
-19 + -5m = 6 + 0
-19 + -5m = 6

Add '19' to each side of the equation.
-19 + 19 + -5m = 6 + 19

Combine like terms: -19 + 19 = 0
0 + -5m = 6 + 19
-5m = 6 + 19

Combine like terms: 6 + 19 = 25
-5m = 25

Divide each side by '-5'.
m = -5

Simplifying
m = -5