5(c-3)=6(c-7)

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Solution for 5(c-3)=6(c-7) equation:


Simplifying
5(c + -3) = 6(c + -7)

Reorder the terms:
5(-3 + c) = 6(c + -7)
(-3 * 5 + c * 5) = 6(c + -7)
(-15 + 5c) = 6(c + -7)

Reorder the terms:
-15 + 5c = 6(-7 + c)
-15 + 5c = (-7 * 6 + c * 6)
-15 + 5c = (-42 + 6c)

Solving
-15 + 5c = -42 + 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.
-15 + 5c + -6c = -42 + 6c + -6c

Combine like terms: 5c + -6c = -1c
-15 + -1c = -42 + 6c + -6c

Combine like terms: 6c + -6c = 0
-15 + -1c = -42 + 0
-15 + -1c = -42

Add '15' to each side of the equation.
-15 + 15 + -1c = -42 + 15

Combine like terms: -15 + 15 = 0
0 + -1c = -42 + 15
-1c = -42 + 15

Combine like terms: -42 + 15 = -27
-1c = -27

Divide each side by '-1'.
c = 27

Simplifying
c = 27

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