2a+2b=a+c

Solution for 2a+2b=a+c equation:

Simplifying
2a + 2b = a + c

Solving
2a + 2b = 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 + 2b = a + -1a + c

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

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

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

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

Divide each side by '1'.
a = -2b + c

Simplifying
a = -2b + c