-3(m+1)-8(-2m-9)=12(m+5)-8

Solution for -3(m+1)-8(-2m-9)=12(m+5)-8 equation:

Simplifying
-3(m + 1) + -8(-2m + -9) = 12(m + 5) + -8

Reorder the terms:
-3(1 + m) + -8(-2m + -9) = 12(m + 5) + -8
(1 * -3 + m * -3) + -8(-2m + -9) = 12(m + 5) + -8
(-3 + -3m) + -8(-2m + -9) = 12(m + 5) + -8

Reorder the terms:
-3 + -3m + -8(-9 + -2m) = 12(m + 5) + -8
-3 + -3m + (-9 * -8 + -2m * -8) = 12(m + 5) + -8
-3 + -3m + (72 + 16m) = 12(m + 5) + -8

Reorder the terms:
-3 + 72 + -3m + 16m = 12(m + 5) + -8

Combine like terms: -3 + 72 = 69
69 + -3m + 16m = 12(m + 5) + -8

Combine like terms: -3m + 16m = 13m
69 + 13m = 12(m + 5) + -8

Reorder the terms:
69 + 13m = 12(5 + m) + -8
69 + 13m = (5 * 12 + m * 12) + -8
69 + 13m = (60 + 12m) + -8

Reorder the terms:
69 + 13m = 60 + -8 + 12m

Combine like terms: 60 + -8 = 52
69 + 13m = 52 + 12m

Solving
69 + 13m = 52 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
69 + 13m + -12m = 52 + 12m + -12m

Combine like terms: 13m + -12m = 1m
69 + 1m = 52 + 12m + -12m

Combine like terms: 12m + -12m = 0
69 + 1m = 52 + 0
69 + 1m = 52

Add '-69' to each side of the equation.
69 + -69 + 1m = 52 + -69

Combine like terms: 69 + -69 = 0
0 + 1m = 52 + -69
1m = 52 + -69

Combine like terms: 52 + -69 = -17
1m = -17

Divide each side by '1'.
m = -17

Simplifying
m = -17