3c-2(c+3)=1

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

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

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

Reorder the terms:
-6 + 3c + -2c = 1

Combine like terms: 3c + -2c = 1c
-6 + 1c = 1

Solving
-6 + 1c = 1

Solving for variable 'c'.

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

Add '6' to each side of the equation.
-6 + 6 + 1c = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 1c = 1 + 6
1c = 1 + 6

Combine like terms: 1 + 6 = 7
1c = 7

Divide each side by '1'.
c = 7

Simplifying
c = 7