(2a-b)=(a+c)

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

Simplifying
(2a + -1b) = (a + c)

Remove parenthesis around (2a + -1b)
2a + -1b = (a + c)

Remove parenthesis around (a + c)
2a + -1b = a + c

Solving
2a + -1b = a + c

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
2a + -1a + -1b = a + -1a + c

Combine like terms: 2a + -1a = 1a
1a + -1b = a + -1a + c

Combine like terms: a + -1a = 0
1a + -1b = 0 + c
1a + -1b = c

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

Combine like terms: -1b + b = 0
1a + 0 = b + c
1a = b + c

Divide each side by '1'.
a = b + c

Simplifying
a = b + c