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

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

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

Reorder the terms:
a + -4(6 + a) = 4a + 2(3 + -2a)
a + (6 * -4 + a * -4) = 4a + 2(3 + -2a)
a + (-24 + -4a) = 4a + 2(3 + -2a)

Reorder the terms:
-24 + a + -4a = 4a + 2(3 + -2a)

Combine like terms: a + -4a = -3a
-24 + -3a = 4a + 2(3 + -2a)
-24 + -3a = 4a + (3 * 2 + -2a * 2)
-24 + -3a = 4a + (6 + -4a)

Reorder the terms:
-24 + -3a = 6 + 4a + -4a

Combine like terms: 4a + -4a = 0
-24 + -3a = 6 + 0
-24 + -3a = 6

Solving
-24 + -3a = 6

Solving for variable 'a'.

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

Add '24' to each side of the equation.
-24 + 24 + -3a = 6 + 24

Combine like terms: -24 + 24 = 0
0 + -3a = 6 + 24
-3a = 6 + 24

Combine like terms: 6 + 24 = 30
-3a = 30

Divide each side by '-3'.
a = -10

Simplifying
a = -10