3(2-3a)=5(a-6)

Solution for 3(2-3a)=5(a-6) equation:

Simplifying
3(2 + -3a) = 5(a + -6)
(2 * 3 + -3a * 3) = 5(a + -6)
(6 + -9a) = 5(a + -6)

Reorder the terms:
6 + -9a = 5(-6 + a)
6 + -9a = (-6 * 5 + a * 5)
6 + -9a = (-30 + 5a)

Solving
6 + -9a = -30 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + -9a + -5a = -30 + 5a + -5a

Combine like terms: -9a + -5a = -14a
6 + -14a = -30 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -14a = -30 + 0
6 + -14a = -30

Add '-6' to each side of the equation.
6 + -6 + -14a = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -14a = -30 + -6
-14a = -30 + -6

Combine like terms: -30 + -6 = -36
-14a = -36

Divide each side by '-14'.
a = 2.571428571

Simplifying
a = 2.571428571