2c+6=5c-3

Solution for 2c+6=5c-3 equation:

Simplifying
2c + 6 = 5c + -3

Reorder the terms:
6 + 2c = 5c + -3

Reorder the terms:
6 + 2c = -3 + 5c

Solving
6 + 2c = -3 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
6 + 2c + -5c = -3 + 5c + -5c

Combine like terms: 2c + -5c = -3c
6 + -3c = -3 + 5c + -5c

Combine like terms: 5c + -5c = 0
6 + -3c = -3 + 0
6 + -3c = -3

Add '-6' to each side of the equation.
6 + -6 + -3c = -3 + -6

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

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

Divide each side by '-3'.
c = 3

Simplifying
c = 3