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

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


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

Combine like terms: 2c + c = 3c
6(3c) = 5(c + -4)

Remove parenthesis around (3c)
6 * 3c = 5(c + -4)

Multiply 6 * 3
18c = 5(c + -4)

Reorder the terms:
18c = 5(-4 + c)
18c = (-4 * 5 + c * 5)
18c = (-20 + 5c)

Solving
18c = -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.
18c + -5c = -20 + 5c + -5c

Combine like terms: 18c + -5c = 13c
13c = -20 + 5c + -5c

Combine like terms: 5c + -5c = 0
13c = -20 + 0
13c = -20

Divide each side by '13'.
c = -1.538461538

Simplifying
c = -1.538461538

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