2(a-6)-(3a+1)=0

Solution for 2(a-6)-(3a+1)=0 equation:

Simplifying
2(a + -6) + -1(3a + 1) = 0

Reorder the terms:
2(-6 + a) + -1(3a + 1) = 0
(-6 * 2 + a * 2) + -1(3a + 1) = 0
(-12 + 2a) + -1(3a + 1) = 0

Reorder the terms:
-12 + 2a + -1(1 + 3a) = 0
-12 + 2a + (1 * -1 + 3a * -1) = 0
-12 + 2a + (-1 + -3a) = 0

Reorder the terms:
-12 + -1 + 2a + -3a = 0

Combine like terms: -12 + -1 = -13
-13 + 2a + -3a = 0

Combine like terms: 2a + -3a = -1a
-13 + -1a = 0

Solving
-13 + -1a = 0

Solving for variable 'a'.

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

Add '13' to each side of the equation.
-13 + 13 + -1a = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1a = 0 + 13
-1a = 0 + 13

Combine like terms: 0 + 13 = 13
-1a = 13

Divide each side by '-1'.
a = -13

Simplifying
a = -13