3(c-9)=2(c-7)

Solution for 3(c-9)=2(c-7) equation:

Simplifying
3(c + -9) = 2(c + -7)

Reorder the terms:
3(-9 + c) = 2(c + -7)
(-9 * 3 + c * 3) = 2(c + -7)
(-27 + 3c) = 2(c + -7)

Reorder the terms:
-27 + 3c = 2(-7 + c)
-27 + 3c = (-7 * 2 + c * 2)
-27 + 3c = (-14 + 2c)

Solving
-27 + 3c = -14 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
-27 + 3c + -2c = -14 + 2c + -2c

Combine like terms: 3c + -2c = 1c
-27 + 1c = -14 + 2c + -2c

Combine like terms: 2c + -2c = 0
-27 + 1c = -14 + 0
-27 + 1c = -14

Add '27' to each side of the equation.
-27 + 27 + 1c = -14 + 27

Combine like terms: -27 + 27 = 0
0 + 1c = -14 + 27
1c = -14 + 27

Combine like terms: -14 + 27 = 13
1c = 13

Divide each side by '1'.
c = 13

Simplifying
c = 13