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

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

Simplifying
-4a + 6(a + -6) = 6 + -5a

Reorder the terms:
-4a + 6(-6 + a) = 6 + -5a
-4a + (-6 * 6 + a * 6) = 6 + -5a
-4a + (-36 + 6a) = 6 + -5a

Reorder the terms:
-36 + -4a + 6a = 6 + -5a

Combine like terms: -4a + 6a = 2a
-36 + 2a = 6 + -5a

Solving
-36 + 2a = 6 + -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.
-36 + 2a + 5a = 6 + -5a + 5a

Combine like terms: 2a + 5a = 7a
-36 + 7a = 6 + -5a + 5a

Combine like terms: -5a + 5a = 0
-36 + 7a = 6 + 0
-36 + 7a = 6

Add '36' to each side of the equation.
-36 + 36 + 7a = 6 + 36

Combine like terms: -36 + 36 = 0
0 + 7a = 6 + 36
7a = 6 + 36

Combine like terms: 6 + 36 = 42
7a = 42

Divide each side by '7'.
a = 6

Simplifying
a = 6