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

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

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

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

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

Combine like terms: 4a + 3a = 7a
6 + 7a = 2(3a + 2)

Reorder the terms:
6 + 7a = 2(2 + 3a)
6 + 7a = (2 * 2 + 3a * 2)
6 + 7a = (4 + 6a)

Solving
6 + 7a = 4 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
6 + 7a + -6a = 4 + 6a + -6a

Combine like terms: 7a + -6a = 1a
6 + 1a = 4 + 6a + -6a

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

Divide each side by '1'.
a = -2

Simplifying
a = -2