7(c-4)=8(c-5)

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Solution for 7(c-4)=8(c-5) equation:


Simplifying
7(c + -4) = 8(c + -5)

Reorder the terms:
7(-4 + c) = 8(c + -5)
(-4 * 7 + c * 7) = 8(c + -5)
(-28 + 7c) = 8(c + -5)

Reorder the terms:
-28 + 7c = 8(-5 + c)
-28 + 7c = (-5 * 8 + c * 8)
-28 + 7c = (-40 + 8c)

Solving
-28 + 7c = -40 + 8c

Solving for variable 'c'.

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

Add '-8c' to each side of the equation.
-28 + 7c + -8c = -40 + 8c + -8c

Combine like terms: 7c + -8c = -1c
-28 + -1c = -40 + 8c + -8c

Combine like terms: 8c + -8c = 0
-28 + -1c = -40 + 0
-28 + -1c = -40

Add '28' to each side of the equation.
-28 + 28 + -1c = -40 + 28

Combine like terms: -28 + 28 = 0
0 + -1c = -40 + 28
-1c = -40 + 28

Combine like terms: -40 + 28 = -12
-1c = -12

Divide each side by '-1'.
c = 12

Simplifying
c = 12

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