(19a+4)-(3a+10)=-2

Solution for (19a+4)-(3a+10)=-2 equation:

Simplifying
(19a + 4) + -1(3a + 10) = -2

Reorder the terms:
(4 + 19a) + -1(3a + 10) = -2

Remove parenthesis around (4 + 19a)
4 + 19a + -1(3a + 10) = -2

Reorder the terms:
4 + 19a + -1(10 + 3a) = -2
4 + 19a + (10 * -1 + 3a * -1) = -2
4 + 19a + (-10 + -3a) = -2

Reorder the terms:
4 + -10 + 19a + -3a = -2

Combine like terms: 4 + -10 = -6
-6 + 19a + -3a = -2

Combine like terms: 19a + -3a = 16a
-6 + 16a = -2

Solving
-6 + 16a = -2

Solving for variable 'a'.

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

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

Combine like terms: -6 + 6 = 0
0 + 16a = -2 + 6
16a = -2 + 6

Combine like terms: -2 + 6 = 4
16a = 4

Divide each side by '16'.
a = 0.25

Simplifying
a = 0.25