3(a+b)=2a+c

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

Simplifying
3(a + b) = 2a + c
(a * 3 + b * 3) = 2a + c
(3a + 3b) = 2a + c

Solving
3a + 3b = 2a + c

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
3a + -2a + 3b = 2a + -2a + c

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

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

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

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

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

Simplifying
a = -3b + c