2(c-3)-3(c+1)=

Solution for 2(c-3)-3(c+1)= equation:

Simplifying
2(c + -3) + -3(c + 1) = 0

Reorder the terms:
2(-3 + c) + -3(c + 1) = 0
(-3 * 2 + c * 2) + -3(c + 1) = 0
(-6 + 2c) + -3(c + 1) = 0

Reorder the terms:
-6 + 2c + -3(1 + c) = 0
-6 + 2c + (1 * -3 + c * -3) = 0
-6 + 2c + (-3 + -3c) = 0

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

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

Combine like terms: 2c + -3c = -1c
-9 + -1c = 0

Solving
-9 + -1c = 0

Solving for variable 'c'.

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

Add '9' to each side of the equation.
-9 + 9 + -1c = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1c = 0 + 9
-1c = 0 + 9

Combine like terms: 0 + 9 = 9
-1c = 9

Divide each side by '-1'.
c = -9

Simplifying
c = -9