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

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

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

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

Solving
4 + -2a = 3 + 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.
4 + -2a + -6a = 3 + 6a + -6a

Combine like terms: -2a + -6a = -8a
4 + -8a = 3 + 6a + -6a

Combine like terms: 6a + -6a = 0
4 + -8a = 3 + 0
4 + -8a = 3

Add '-4' to each side of the equation.
4 + -4 + -8a = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -8a = 3 + -4
-8a = 3 + -4

Combine like terms: 3 + -4 = -1
-8a = -1

Divide each side by '-8'.
a = 0.125

Simplifying
a = 0.125