7(c-7)=8(c-8)

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


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

Reorder the terms:
7(-7 + c) = 8(c + -8)
(-7 * 7 + c * 7) = 8(c + -8)
(-49 + 7c) = 8(c + -8)

Reorder the terms:
-49 + 7c = 8(-8 + c)
-49 + 7c = (-8 * 8 + c * 8)
-49 + 7c = (-64 + 8c)

Solving
-49 + 7c = -64 + 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.
-49 + 7c + -8c = -64 + 8c + -8c

Combine like terms: 7c + -8c = -1c
-49 + -1c = -64 + 8c + -8c

Combine like terms: 8c + -8c = 0
-49 + -1c = -64 + 0
-49 + -1c = -64

Add '49' to each side of the equation.
-49 + 49 + -1c = -64 + 49

Combine like terms: -49 + 49 = 0
0 + -1c = -64 + 49
-1c = -64 + 49

Combine like terms: -64 + 49 = -15
-1c = -15

Divide each side by '-1'.
c = 15

Simplifying
c = 15

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