(2a-b)-(a+5b-3)=

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

Simplifying
(2a + -1b) + -1(a + 5b + -3) = 0

Remove parenthesis around (2a + -1b)
2a + -1b + -1(a + 5b + -3) = 0

Reorder the terms:
2a + -1b + -1(-3 + a + 5b) = 0
2a + -1b + (-3 * -1 + a * -1 + 5b * -1) = 0
2a + -1b + (3 + -1a + -5b) = 0

Reorder the terms:
3 + 2a + -1a + -1b + -5b = 0

Combine like terms: 2a + -1a = 1a
3 + 1a + -1b + -5b = 0

Combine like terms: -1b + -5b = -6b
3 + 1a + -6b = 0

Solving
3 + 1a + -6b = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + 1a + -3 + -6b = 0 + -3

Reorder the terms:
3 + -3 + 1a + -6b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1a + -6b = 0 + -3
1a + -6b = 0 + -3

Combine like terms: 0 + -3 = -3
1a + -6b = -3

Add '6b' to each side of the equation.
1a + -6b + 6b = -3 + 6b

Combine like terms: -6b + 6b = 0
1a + 0 = -3 + 6b
1a = -3 + 6b

Divide each side by '1'.
a = -3 + 6b

Simplifying
a = -3 + 6b