6(4+6)=5(c-2)

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Solution for 6(4+6)=5(c-2) equation:


Simplifying
6(4 + 6) = 5(c + -2)

Combine like terms: 4 + 6 = 10
6(10) = 5(c + -2)

Multiply 6 * 10
60 = 5(c + -2)

Reorder the terms:
60 = 5(-2 + c)
60 = (-2 * 5 + c * 5)
60 = (-10 + 5c)

Solving
60 = -10 + 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.
60 + -5c = -10 + 5c + -5c

Combine like terms: 5c + -5c = 0
60 + -5c = -10 + 0
60 + -5c = -10

Add '-60' to each side of the equation.
60 + -60 + -5c = -10 + -60

Combine like terms: 60 + -60 = 0
0 + -5c = -10 + -60
-5c = -10 + -60

Combine like terms: -10 + -60 = -70
-5c = -70

Divide each side by '-5'.
c = 14

Simplifying
c = 14

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