5(c+3)=3(c+9)

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Solution for 5(c+3)=3(c+9) equation:


Simplifying
5(c + 3) = 3(c + 9)

Reorder the terms:
5(3 + c) = 3(c + 9)
(3 * 5 + c * 5) = 3(c + 9)
(15 + 5c) = 3(c + 9)

Reorder the terms:
15 + 5c = 3(9 + c)
15 + 5c = (9 * 3 + c * 3)
15 + 5c = (27 + 3c)

Solving
15 + 5c = 27 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
15 + 5c + -3c = 27 + 3c + -3c

Combine like terms: 5c + -3c = 2c
15 + 2c = 27 + 3c + -3c

Combine like terms: 3c + -3c = 0
15 + 2c = 27 + 0
15 + 2c = 27

Add '-15' to each side of the equation.
15 + -15 + 2c = 27 + -15

Combine like terms: 15 + -15 = 0
0 + 2c = 27 + -15
2c = 27 + -15

Combine like terms: 27 + -15 = 12
2c = 12

Divide each side by '2'.
c = 6

Simplifying
c = 6

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