5(c+4)=2c-6

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


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

Reorder the terms:
5(4 + c) = 2c + -6
(4 * 5 + c * 5) = 2c + -6
(20 + 5c) = 2c + -6

Reorder the terms:
20 + 5c = -6 + 2c

Solving
20 + 5c = -6 + 2c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-2c' to each side of the equation.
20 + 5c + -2c = -6 + 2c + -2c

Combine like terms: 5c + -2c = 3c
20 + 3c = -6 + 2c + -2c

Combine like terms: 2c + -2c = 0
20 + 3c = -6 + 0
20 + 3c = -6

Add '-20' to each side of the equation.
20 + -20 + 3c = -6 + -20

Combine like terms: 20 + -20 = 0
0 + 3c = -6 + -20
3c = -6 + -20

Combine like terms: -6 + -20 = -26
3c = -26

Divide each side by '3'.
c = -8.666666667

Simplifying
c = -8.666666667

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