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

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

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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -4a = -3 + 6

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

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

Divide each side by '-4'.
a = -0.75

Simplifying
a = -0.75