5a+9c+6-2a+2b+5c=

Solution for 5a+9c+6-2a+2b+5c= equation:

Simplifying
5a + 9c + 6 + -2a + 2b + 5c = 0

Reorder the terms:
6 + 5a + -2a + 2b + 9c + 5c = 0

Combine like terms: 5a + -2a = 3a
6 + 3a + 2b + 9c + 5c = 0

Combine like terms: 9c + 5c = 14c
6 + 3a + 2b + 14c = 0

Solving
6 + 3a + 2b + 14c = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + 3a + 2b + -6 + 14c = 0 + -6

Reorder the terms:
6 + -6 + 3a + 2b + 14c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3a + 2b + 14c = 0 + -6
3a + 2b + 14c = 0 + -6

Combine like terms: 0 + -6 = -6
3a + 2b + 14c = -6

Add '-2b' to each side of the equation.
3a + 2b + -2b + 14c = -6 + -2b

Combine like terms: 2b + -2b = 0
3a + 0 + 14c = -6 + -2b
3a + 14c = -6 + -2b

Add '-14c' to each side of the equation.
3a + 14c + -14c = -6 + -2b + -14c

Combine like terms: 14c + -14c = 0
3a + 0 = -6 + -2b + -14c
3a = -6 + -2b + -14c

Divide each side by '3'.
a = -2 + -0.6666666667b + -4.666666667c

Simplifying
a = -2 + -0.6666666667b + -4.666666667c