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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-3'.
a = -0.6666666667

Simplifying
a = -0.6666666667