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

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

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

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

Reorder the terms:
-6 + 5a = 2(-3 + 2a)
-6 + 5a = (-3 * 2 + 2a * 2)
-6 + 5a = (-6 + 4a)

Add '6' to each side of the equation.
-6 + 6 + 5a = -6 + 6 + 4a

Combine like terms: -6 + 6 = 0
0 + 5a = -6 + 6 + 4a
5a = -6 + 6 + 4a

Combine like terms: -6 + 6 = 0
5a = 0 + 4a
5a = 4a

Solving
5a = 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
5a + -4a = 4a + -4a

Combine like terms: 5a + -4a = 1a
1a = 4a + -4a

Combine like terms: 4a + -4a = 0
1a = 0

Divide each side by '1'.
a = 0

Simplifying
a = 0