2(c-3)=3(c-7)

Solution for 2(c-3)=3(c-7) equation:

Simplifying
2(c + -3) = 3(c + -7)

Reorder the terms:
2(-3 + c) = 3(c + -7)
(-3 * 2 + c * 2) = 3(c + -7)
(-6 + 2c) = 3(c + -7)

Reorder the terms:
-6 + 2c = 3(-7 + c)
-6 + 2c = (-7 * 3 + c * 3)
-6 + 2c = (-21 + 3c)

Solving
-6 + 2c = -21 + 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 = -21 + 3c + -3c

Combine like terms: 2c + -3c = -1c
-6 + -1c = -21 + 3c + -3c

Combine like terms: 3c + -3c = 0
-6 + -1c = -21 + 0
-6 + -1c = -21

Add '6' to each side of the equation.
-6 + 6 + -1c = -21 + 6

Combine like terms: -6 + 6 = 0
0 + -1c = -21 + 6
-1c = -21 + 6

Combine like terms: -21 + 6 = -15
-1c = -15

Divide each side by '-1'.
c = 15

Simplifying
c = 15