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

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

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

Reorder the terms:
3(-2 + a) = 5(3 + -2a)
(-2 * 3 + a * 3) = 5(3 + -2a)
(-6 + 3a) = 5(3 + -2a)
-6 + 3a = (3 * 5 + -2a * 5)
-6 + 3a = (15 + -10a)

Solving
-6 + 3a = 15 + -10a

Solving for variable 'a'.

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

Add '10a' to each side of the equation.
-6 + 3a + 10a = 15 + -10a + 10a

Combine like terms: 3a + 10a = 13a
-6 + 13a = 15 + -10a + 10a

Combine like terms: -10a + 10a = 0
-6 + 13a = 15 + 0
-6 + 13a = 15

Add '6' to each side of the equation.
-6 + 6 + 13a = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 13a = 15 + 6
13a = 15 + 6

Combine like terms: 15 + 6 = 21
13a = 21

Divide each side by '13'.
a = 1.615384615

Simplifying
a = 1.615384615