12-2m-3(m+5)=4(m+3)+1

Solution for 12-2m-3(m+5)=4(m+3)+1 equation:

Simplifying
12 + -2m + -3(m + 5) = 4(m + 3) + 1

Reorder the terms:
12 + -2m + -3(5 + m) = 4(m + 3) + 1
12 + -2m + (5 * -3 + m * -3) = 4(m + 3) + 1
12 + -2m + (-15 + -3m) = 4(m + 3) + 1

Reorder the terms:
12 + -15 + -2m + -3m = 4(m + 3) + 1

Combine like terms: 12 + -15 = -3
-3 + -2m + -3m = 4(m + 3) + 1

Combine like terms: -2m + -3m = -5m
-3 + -5m = 4(m + 3) + 1

Reorder the terms:
-3 + -5m = 4(3 + m) + 1
-3 + -5m = (3 * 4 + m * 4) + 1
-3 + -5m = (12 + 4m) + 1

Reorder the terms:
-3 + -5m = 12 + 1 + 4m

Combine like terms: 12 + 1 = 13
-3 + -5m = 13 + 4m

Solving
-3 + -5m = 13 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-3 + -5m + -4m = 13 + 4m + -4m

Combine like terms: -5m + -4m = -9m
-3 + -9m = 13 + 4m + -4m

Combine like terms: 4m + -4m = 0
-3 + -9m = 13 + 0
-3 + -9m = 13

Add '3' to each side of the equation.
-3 + 3 + -9m = 13 + 3

Combine like terms: -3 + 3 = 0
0 + -9m = 13 + 3
-9m = 13 + 3

Combine like terms: 13 + 3 = 16
-9m = 16

Divide each side by '-9'.
m = -1.777777778

Simplifying
m = -1.777777778