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

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

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

Reorder the terms:
3(-3 + a) = 2(a + 5)
(-3 * 3 + a * 3) = 2(a + 5)
(-9 + 3a) = 2(a + 5)

Reorder the terms:
-9 + 3a = 2(5 + a)
-9 + 3a = (5 * 2 + a * 2)
-9 + 3a = (10 + 2a)

Solving
-9 + 3a = 10 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-9 + 3a + -2a = 10 + 2a + -2a

Combine like terms: 3a + -2a = 1a
-9 + 1a = 10 + 2a + -2a

Combine like terms: 2a + -2a = 0
-9 + 1a = 10 + 0
-9 + 1a = 10

Add '9' to each side of the equation.
-9 + 9 + 1a = 10 + 9

Combine like terms: -9 + 9 = 0
0 + 1a = 10 + 9
1a = 10 + 9

Combine like terms: 10 + 9 = 19
1a = 19

Divide each side by '1'.
a = 19

Simplifying
a = 19