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

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

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

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

Combine like terms: 3a + a = 4a
-6 + 4a = 2(a + 1)

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

Solving
-6 + 4a = 2 + 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 + 4a + -2a = 2 + 2a + -2a

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

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

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

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

Combine like terms: 2 + 6 = 8
2a = 8

Divide each side by '2'.
a = 4

Simplifying
a = 4