19-(2m+3)=2(m+3)+m

Solution for 19-(2m+3)=2(m+3)+m equation:

Simplifying
19 + -1(2m + 3) = 2(m + 3) + m

Reorder the terms:
19 + -1(3 + 2m) = 2(m + 3) + m
19 + (3 * -1 + 2m * -1) = 2(m + 3) + m
19 + (-3 + -2m) = 2(m + 3) + m

Combine like terms: 19 + -3 = 16
16 + -2m = 2(m + 3) + m

Reorder the terms:
16 + -2m = 2(3 + m) + m
16 + -2m = (3 * 2 + m * 2) + m
16 + -2m = (6 + 2m) + m

Combine like terms: 2m + m = 3m
16 + -2m = 6 + 3m

Solving
16 + -2m = 6 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
16 + -2m + -3m = 6 + 3m + -3m

Combine like terms: -2m + -3m = -5m
16 + -5m = 6 + 3m + -3m

Combine like terms: 3m + -3m = 0
16 + -5m = 6 + 0
16 + -5m = 6

Add '-16' to each side of the equation.
16 + -16 + -5m = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -5m = 6 + -16
-5m = 6 + -16

Combine like terms: 6 + -16 = -10
-5m = -10

Divide each side by '-5'.
m = 2

Simplifying
m = 2