6(3+c)=5(c-6)

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Solution for 6(3+c)=5(c-6) equation:


Simplifying
6(3 + c) = 5(c + -6)
(3 * 6 + c * 6) = 5(c + -6)
(18 + 6c) = 5(c + -6)

Reorder the terms:
18 + 6c = 5(-6 + c)
18 + 6c = (-6 * 5 + c * 5)
18 + 6c = (-30 + 5c)

Solving
18 + 6c = -30 + 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.
18 + 6c + -5c = -30 + 5c + -5c

Combine like terms: 6c + -5c = 1c
18 + 1c = -30 + 5c + -5c

Combine like terms: 5c + -5c = 0
18 + 1c = -30 + 0
18 + 1c = -30

Add '-18' to each side of the equation.
18 + -18 + 1c = -30 + -18

Combine like terms: 18 + -18 = 0
0 + 1c = -30 + -18
1c = -30 + -18

Combine like terms: -30 + -18 = -48
1c = -48

Divide each side by '1'.
c = -48

Simplifying
c = -48

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