5c-6=3c+4

Solution for 5c-6=3c+4 equation:

Simplifying
5c + -6 = 3c + 4

Reorder the terms:
-6 + 5c = 3c + 4

Reorder the terms:
-6 + 5c = 4 + 3c

Solving
-6 + 5c = 4 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
-6 + 5c + -3c = 4 + 3c + -3c

Combine like terms: 5c + -3c = 2c
-6 + 2c = 4 + 3c + -3c

Combine like terms: 3c + -3c = 0
-6 + 2c = 4 + 0
-6 + 2c = 4

Add '6' to each side of the equation.
-6 + 6 + 2c = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 2c = 4 + 6
2c = 4 + 6

Combine like terms: 4 + 6 = 10
2c = 10

Divide each side by '2'.
c = 5

Simplifying
c = 5