2(c-3)=c+1

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

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

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

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

Solving
-6 + 2c = 1 + c

Solving for variable 'c'.

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

Add '-1c' to each side of the equation.
-6 + 2c + -1c = 1 + c + -1c

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

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

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