3(a-4)+6=4+2(a+5)

Solution for 3(a-4)+6=4+2(a+5) equation:

Simplifying
3(a + -4) + 6 = 4 + 2(a + 5)

Reorder the terms:
3(-4 + a) + 6 = 4 + 2(a + 5)
(-4 * 3 + a * 3) + 6 = 4 + 2(a + 5)
(-12 + 3a) + 6 = 4 + 2(a + 5)

Reorder the terms:
-12 + 6 + 3a = 4 + 2(a + 5)

Combine like terms: -12 + 6 = -6
-6 + 3a = 4 + 2(a + 5)

Reorder the terms:
-6 + 3a = 4 + 2(5 + a)
-6 + 3a = 4 + (5 * 2 + a * 2)
-6 + 3a = 4 + (10 + 2a)

Combine like terms: 4 + 10 = 14
-6 + 3a = 14 + 2a

Solving
-6 + 3a = 14 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-6 + 3a + -2a = 14 + 2a + -2a

Combine like terms: 3a + -2a = 1a
-6 + 1a = 14 + 2a + -2a

Combine like terms: 2a + -2a = 0
-6 + 1a = 14 + 0
-6 + 1a = 14

Add '6' to each side of the equation.
-6 + 6 + 1a = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 1a = 14 + 6
1a = 14 + 6

Combine like terms: 14 + 6 = 20
1a = 20

Divide each side by '1'.
a = 20

Simplifying
a = 20