5(c-2)=6(c-8)

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Solution for 5(c-2)=6(c-8) equation:


Simplifying
5(c + -2) = 6(c + -8)

Reorder the terms:
5(-2 + c) = 6(c + -8)
(-2 * 5 + c * 5) = 6(c + -8)
(-10 + 5c) = 6(c + -8)

Reorder the terms:
-10 + 5c = 6(-8 + c)
-10 + 5c = (-8 * 6 + c * 6)
-10 + 5c = (-48 + 6c)

Solving
-10 + 5c = -48 + 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.
-10 + 5c + -6c = -48 + 6c + -6c

Combine like terms: 5c + -6c = -1c
-10 + -1c = -48 + 6c + -6c

Combine like terms: 6c + -6c = 0
-10 + -1c = -48 + 0
-10 + -1c = -48

Add '10' to each side of the equation.
-10 + 10 + -1c = -48 + 10

Combine like terms: -10 + 10 = 0
0 + -1c = -48 + 10
-1c = -48 + 10

Combine like terms: -48 + 10 = -38
-1c = -38

Divide each side by '-1'.
c = 38

Simplifying
c = 38

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