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

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

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

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

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

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

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

Solving
6 + 1a = 4 + 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 + 1a + -2a = 4 + 2a + -2a

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

Combine like terms: 2a + -2a = 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