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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-1'.
a = 0

Simplifying
a = 0