3(c-2)+2(c+4)=-3

Solution for 3(c-2)+2(c+4)=-3 equation:

Simplifying
3(c + -2) + 2(c + 4) = -3

Reorder the terms:
3(-2 + c) + 2(c + 4) = -3
(-2 * 3 + c * 3) + 2(c + 4) = -3
(-6 + 3c) + 2(c + 4) = -3

Reorder the terms:
-6 + 3c + 2(4 + c) = -3
-6 + 3c + (4 * 2 + c * 2) = -3
-6 + 3c + (8 + 2c) = -3

Reorder the terms:
-6 + 8 + 3c + 2c = -3

Combine like terms: -6 + 8 = 2
2 + 3c + 2c = -3

Combine like terms: 3c + 2c = 5c
2 + 5c = -3

Solving
2 + 5c = -3

Solving for variable 'c'.

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

Add '-2' to each side of the equation.
2 + -2 + 5c = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 5c = -3 + -2
5c = -3 + -2

Combine like terms: -3 + -2 = -5
5c = -5

Divide each side by '5'.
c = -1

Simplifying
c = -1