5(c-5)=6(c-6)

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Solution for 5(c-5)=6(c-6) equation:


Simplifying
5(c + -5) = 6(c + -6)

Reorder the terms:
5(-5 + c) = 6(c + -6)
(-5 * 5 + c * 5) = 6(c + -6)
(-25 + 5c) = 6(c + -6)

Reorder the terms:
-25 + 5c = 6(-6 + c)
-25 + 5c = (-6 * 6 + c * 6)
-25 + 5c = (-36 + 6c)

Solving
-25 + 5c = -36 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
-25 + 5c + -6c = -36 + 6c + -6c

Combine like terms: 5c + -6c = -1c
-25 + -1c = -36 + 6c + -6c

Combine like terms: 6c + -6c = 0
-25 + -1c = -36 + 0
-25 + -1c = -36

Add '25' to each side of the equation.
-25 + 25 + -1c = -36 + 25

Combine like terms: -25 + 25 = 0
0 + -1c = -36 + 25
-1c = -36 + 25

Combine like terms: -36 + 25 = -11
-1c = -11

Divide each side by '-1'.
c = 11

Simplifying
c = 11

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