2(3a-4)+2=4(a+1)+a

Solution for 2(3a-4)+2=4(a+1)+a equation:

Simplifying
2(3a + -4) + 2 = 4(a + 1) + a

Reorder the terms:
2(-4 + 3a) + 2 = 4(a + 1) + a
(-4 * 2 + 3a * 2) + 2 = 4(a + 1) + a
(-8 + 6a) + 2 = 4(a + 1) + a

Reorder the terms:
-8 + 2 + 6a = 4(a + 1) + a

Combine like terms: -8 + 2 = -6
-6 + 6a = 4(a + 1) + a

Reorder the terms:
-6 + 6a = 4(1 + a) + a
-6 + 6a = (1 * 4 + a * 4) + a
-6 + 6a = (4 + 4a) + a

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

Solving
-6 + 6a = 4 + 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 + 6a + -5a = 4 + 5a + -5a

Combine like terms: 6a + -5a = 1a
-6 + 1a = 4 + 5a + -5a

Combine like terms: 5a + -5a = 0
-6 + 1a = 4 + 0
-6 + 1a = 4

Add '6' to each side of the equation.
-6 + 6 + 1a = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 1a = 4 + 6
1a = 4 + 6

Combine like terms: 4 + 6 = 10
1a = 10

Divide each side by '1'.
a = 10

Simplifying
a = 10