2(11+m)=4(2m+m)+12(2m-1)

Solution for 2(11+m)=4(2m+m)+12(2m-1) equation:

Simplifying
2(11 + m) = 4(2m + m) + 12(2m + -1)
(11 * 2 + m * 2) = 4(2m + m) + 12(2m + -1)
(22 + 2m) = 4(2m + m) + 12(2m + -1)

Combine like terms: 2m + m = 3m
22 + 2m = 4(3m) + 12(2m + -1)

Remove parenthesis around (3m)
22 + 2m = 4 * 3m + 12(2m + -1)

Multiply 4 * 3
22 + 2m = 12m + 12(2m + -1)

Reorder the terms:
22 + 2m = 12m + 12(-1 + 2m)
22 + 2m = 12m + (-1 * 12 + 2m * 12)
22 + 2m = 12m + (-12 + 24m)

Reorder the terms:
22 + 2m = -12 + 12m + 24m

Combine like terms: 12m + 24m = 36m
22 + 2m = -12 + 36m

Solving
22 + 2m = -12 + 36m

Solving for variable 'm'.

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

Add '-36m' to each side of the equation.
22 + 2m + -36m = -12 + 36m + -36m

Combine like terms: 2m + -36m = -34m
22 + -34m = -12 + 36m + -36m

Combine like terms: 36m + -36m = 0
22 + -34m = -12 + 0
22 + -34m = -12

Add '-22' to each side of the equation.
22 + -22 + -34m = -12 + -22

Combine like terms: 22 + -22 = 0
0 + -34m = -12 + -22
-34m = -12 + -22

Combine like terms: -12 + -22 = -34
-34m = -34

Divide each side by '-34'.
m = 1

Simplifying
m = 1