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

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

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

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

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

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

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

Solving
16 + -2a = 6 + 3a

Solving for variable 'a'.

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

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

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

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

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

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

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

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

Simplifying
a = 2