3(a-5)+19=-a

Solution for 3(a-5)+19=-a equation:

Simplifying
3(a + -5) + 19 = -1a

Reorder the terms:
3(-5 + a) + 19 = -1a
(-5 * 3 + a * 3) + 19 = -1a
(-15 + 3a) + 19 = -1a

Reorder the terms:
-15 + 19 + 3a = -1a

Combine like terms: -15 + 19 = 4
4 + 3a = -1a

Solving
4 + 3a = -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
4 + 3a + a = -1a + a

Combine like terms: 3a + a = 4a
4 + 4a = -1a + a

Combine like terms: -1a + a = 0
4 + 4a = 0

Add '-4' to each side of the equation.
4 + -4 + 4a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4a = 0 + -4
4a = 0 + -4

Combine like terms: 0 + -4 = -4
4a = -4

Divide each side by '4'.
a = -1

Simplifying
a = -1