2(5a-3)-a=2(4a-3)

Solution for 2(5a-3)-a=2(4a-3) equation:

Simplifying
2(5a + -3) + -1a = 2(4a + -3)

Reorder the terms:
2(-3 + 5a) + -1a = 2(4a + -3)
(-3 * 2 + 5a * 2) + -1a = 2(4a + -3)
(-6 + 10a) + -1a = 2(4a + -3)

Combine like terms: 10a + -1a = 9a
-6 + 9a = 2(4a + -3)

Reorder the terms:
-6 + 9a = 2(-3 + 4a)
-6 + 9a = (-3 * 2 + 4a * 2)
-6 + 9a = (-6 + 8a)

Add '6' to each side of the equation.
-6 + 6 + 9a = -6 + 6 + 8a

Combine like terms: -6 + 6 = 0
0 + 9a = -6 + 6 + 8a
9a = -6 + 6 + 8a

Combine like terms: -6 + 6 = 0
9a = 0 + 8a
9a = 8a

Solving
9a = 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
9a + -8a = 8a + -8a

Combine like terms: 9a + -8a = 1a
1a = 8a + -8a

Combine like terms: 8a + -8a = 0
1a = 0

Divide each side by '1'.
a = 0

Simplifying
a = 0