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

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

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

Reorder the terms:
-2(3 + -6a) = 5(a + -5) + -2
(3 * -2 + -6a * -2) = 5(a + -5) + -2
(-6 + 12a) = 5(a + -5) + -2

Reorder the terms:
-6 + 12a = 5(-5 + a) + -2
-6 + 12a = (-5 * 5 + a * 5) + -2
-6 + 12a = (-25 + 5a) + -2

Reorder the terms:
-6 + 12a = -25 + -2 + 5a

Combine like terms: -25 + -2 = -27
-6 + 12a = -27 + 5a

Solving
-6 + 12a = -27 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-6 + 12a + -5a = -27 + 5a + -5a

Combine like terms: 12a + -5a = 7a
-6 + 7a = -27 + 5a + -5a

Combine like terms: 5a + -5a = 0
-6 + 7a = -27 + 0
-6 + 7a = -27

Add '6' to each side of the equation.
-6 + 6 + 7a = -27 + 6

Combine like terms: -6 + 6 = 0
0 + 7a = -27 + 6
7a = -27 + 6

Combine like terms: -27 + 6 = -21
7a = -21

Divide each side by '7'.
a = -3

Simplifying
a = -3