2-3(1-2a)=5-2(2a+3)

Solution for 2-3(1-2a)=5-2(2a+3) equation:

Simplifying
2 + -3(1 + -2a) = 5 + -2(2a + 3)
2 + (1 * -3 + -2a * -3) = 5 + -2(2a + 3)
2 + (-3 + 6a) = 5 + -2(2a + 3)

Combine like terms: 2 + -3 = -1
-1 + 6a = 5 + -2(2a + 3)

Reorder the terms:
-1 + 6a = 5 + -2(3 + 2a)
-1 + 6a = 5 + (3 * -2 + 2a * -2)
-1 + 6a = 5 + (-6 + -4a)

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

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

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

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

Solving
6a = -4a

Solving for variable 'a'.

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

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

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

Combine like terms: -4a + 4a = 0
10a = 0

Divide each side by '10'.
a = 0.0

Simplifying
a = 0.0