19=2a-(a+1)

Solution for 19=2a-(a+1) equation:

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

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

Reorder the terms:
19 = -1 + 2a + -1a

Combine like terms: 2a + -1a = 1a
19 = -1 + 1a

Solving
19 = -1 + 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
19 + -1a = -1 + 1a + -1a

Combine like terms: 1a + -1a = 0
19 + -1a = -1 + 0
19 + -1a = -1

Add '-19' to each side of the equation.
19 + -19 + -1a = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -1a = -1 + -19
-1a = -1 + -19

Combine like terms: -1 + -19 = -20
-1a = -20

Divide each side by '-1'.
a = 20

Simplifying
a = 20