3(2a-2)-(a-5)=16

Solution for 3(2a-2)-(a-5)=16 equation:

Simplifying
3(2a + -2) + -1(a + -5) = 16

Reorder the terms:
3(-2 + 2a) + -1(a + -5) = 16
(-2 * 3 + 2a * 3) + -1(a + -5) = 16
(-6 + 6a) + -1(a + -5) = 16

Reorder the terms:
-6 + 6a + -1(-5 + a) = 16
-6 + 6a + (-5 * -1 + a * -1) = 16
-6 + 6a + (5 + -1a) = 16

Reorder the terms:
-6 + 5 + 6a + -1a = 16

Combine like terms: -6 + 5 = -1
-1 + 6a + -1a = 16

Combine like terms: 6a + -1a = 5a
-1 + 5a = 16

Solving
-1 + 5a = 16

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 5a = 16 + 1

Combine like terms: -1 + 1 = 0
0 + 5a = 16 + 1
5a = 16 + 1

Combine like terms: 16 + 1 = 17
5a = 17

Divide each side by '5'.
a = 3.4

Simplifying
a = 3.4