9a=3(5a-2)

Solution for 9a=3(5a-2) equation:

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

Reorder the terms:
9a = 3(-2 + 5a)
9a = (-2 * 3 + 5a * 3)
9a = (-6 + 15a)

Solving
9a = -6 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
9a + -15a = -6 + 15a + -15a

Combine like terms: 9a + -15a = -6a
-6a = -6 + 15a + -15a

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

Divide each side by '-6'.
a = 1

Simplifying
a = 1