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

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

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

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

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

Combine like terms: -3b + -1b = -4b
6a + -4b = 0

Solving
6a + -4b = 0

Solving for variable 'a'.

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

Add '4b' to each side of the equation.
6a + -4b + 4b = 0 + 4b

Combine like terms: -4b + 4b = 0
6a + 0 = 0 + 4b
6a = 0 + 4b
Remove the zero:
6a = 4b

Divide each side by '6'.
a = 0.6666666667b

Simplifying
a = 0.6666666667b