-3(a+2)-(a-6)=4(5)

Solution for -3(a+2)-(a-6)=4(5) equation:

Simplifying
-3(a + 2) + -1(a + -6) = 4(5)

Reorder the terms:
-3(2 + a) + -1(a + -6) = 4(5)
(2 * -3 + a * -3) + -1(a + -6) = 4(5)
(-6 + -3a) + -1(a + -6) = 4(5)

Reorder the terms:
-6 + -3a + -1(-6 + a) = 4(5)
-6 + -3a + (-6 * -1 + a * -1) = 4(5)
-6 + -3a + (6 + -1a) = 4(5)

Reorder the terms:
-6 + 6 + -3a + -1a = 4(5)

Combine like terms: -6 + 6 = 0
0 + -3a + -1a = 4(5)
-3a + -1a = 4(5)

Combine like terms: -3a + -1a = -4a
-4a = 4(5)

Multiply 4 * 5
-4a = 20

Solving
-4a = 20

Solving for variable 'a'.

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

Divide each side by '-4'.
a = -5

Simplifying
a = -5