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

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


Simplifying
6(5 + c) = 5(c + -4)
(5 * 6 + c * 6) = 5(c + -4)
(30 + 6c) = 5(c + -4)

Reorder the terms:
30 + 6c = 5(-4 + c)
30 + 6c = (-4 * 5 + c * 5)
30 + 6c = (-20 + 5c)

Solving
30 + 6c = -20 + 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.
30 + 6c + -5c = -20 + 5c + -5c

Combine like terms: 6c + -5c = 1c
30 + 1c = -20 + 5c + -5c

Combine like terms: 5c + -5c = 0
30 + 1c = -20 + 0
30 + 1c = -20

Add '-30' to each side of the equation.
30 + -30 + 1c = -20 + -30

Combine like terms: 30 + -30 = 0
0 + 1c = -20 + -30
1c = -20 + -30

Combine like terms: -20 + -30 = -50
1c = -50

Divide each side by '1'.
c = -50

Simplifying
c = -50

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