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

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

Simplifying
6a + 3 = 3(3a + -2)

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

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

Solving
3 + 6a = -6 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
3 + 6a + -9a = -6 + 9a + -9a

Combine like terms: 6a + -9a = -3a
3 + -3a = -6 + 9a + -9a

Combine like terms: 9a + -9a = 0
3 + -3a = -6 + 0
3 + -3a = -6

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

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

Combine like terms: -6 + -3 = -9
-3a = -9

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

Simplifying
a = 3