2c+6=3c+4

Solution for 2c+6=3c+4 equation:

Simplifying
2c + 6 = 3c + 4

Reorder the terms:
6 + 2c = 3c + 4

Reorder the terms:
6 + 2c = 4 + 3c

Solving
6 + 2c = 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 + 2c + -3c = 4 + 3c + -3c

Combine like terms: 2c + -3c = -1c
6 + -1c = 4 + 3c + -3c

Combine like terms: 3c + -3c = 0
6 + -1c = 4 + 0
6 + -1c = 4

Add '-6' to each side of the equation.
6 + -6 + -1c = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -1c = 4 + -6
-1c = 4 + -6

Combine like terms: 4 + -6 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2