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

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Solution for 4(c-6)=5(c-7) equation:


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

Reorder the terms:
4(-6 + c) = 5(c + -7)
(-6 * 4 + c * 4) = 5(c + -7)
(-24 + 4c) = 5(c + -7)

Reorder the terms:
-24 + 4c = 5(-7 + c)
-24 + 4c = (-7 * 5 + c * 5)
-24 + 4c = (-35 + 5c)

Solving
-24 + 4c = -35 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
-24 + 4c + -5c = -35 + 5c + -5c

Combine like terms: 4c + -5c = -1c
-24 + -1c = -35 + 5c + -5c

Combine like terms: 5c + -5c = 0
-24 + -1c = -35 + 0
-24 + -1c = -35

Add '24' to each side of the equation.
-24 + 24 + -1c = -35 + 24

Combine like terms: -24 + 24 = 0
0 + -1c = -35 + 24
-1c = -35 + 24

Combine like terms: -35 + 24 = -11
-1c = -11

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

Simplifying
c = 11

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