7(c-2)=8(c-5)

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Solution for 7(c-2)=8(c-5) equation:


Simplifying
7(c + -2) = 8(c + -5)

Reorder the terms:
7(-2 + c) = 8(c + -5)
(-2 * 7 + c * 7) = 8(c + -5)
(-14 + 7c) = 8(c + -5)

Reorder the terms:
-14 + 7c = 8(-5 + c)
-14 + 7c = (-5 * 8 + c * 8)
-14 + 7c = (-40 + 8c)

Solving
-14 + 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.
-14 + 7c + -8c = -40 + 8c + -8c

Combine like terms: 7c + -8c = -1c
-14 + -1c = -40 + 8c + -8c

Combine like terms: 8c + -8c = 0
-14 + -1c = -40 + 0
-14 + -1c = -40

Add '14' to each side of the equation.
-14 + 14 + -1c = -40 + 14

Combine like terms: -14 + 14 = 0
0 + -1c = -40 + 14
-1c = -40 + 14

Combine like terms: -40 + 14 = -26
-1c = -26

Divide each side by '-1'.
c = 26

Simplifying
c = 26

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