5a-6=2(a+3)

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

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

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

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

Solving
-6 + 5a = 6 + 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.
-6 + 5a + -2a = 6 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-6 + 3a = 6 + 2a + -2a

Combine like terms: 2a + -2a = 0
-6 + 3a = 6 + 0
-6 + 3a = 6

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

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

Combine like terms: 6 + 6 = 12
3a = 12

Divide each side by '3'.
a = 4

Simplifying
a = 4