3(c+5)-2+2c=2(c+6)+c+7

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Solution for 3(c+5)-2+2c=2(c+6)+c+7 equation:


Simplifying
3(c + 5) + -2 + 2c = 2(c + 6) + c + 7

Reorder the terms:
3(5 + c) + -2 + 2c = 2(c + 6) + c + 7
(5 * 3 + c * 3) + -2 + 2c = 2(c + 6) + c + 7
(15 + 3c) + -2 + 2c = 2(c + 6) + c + 7

Reorder the terms:
15 + -2 + 3c + 2c = 2(c + 6) + c + 7

Combine like terms: 15 + -2 = 13
13 + 3c + 2c = 2(c + 6) + c + 7

Combine like terms: 3c + 2c = 5c
13 + 5c = 2(c + 6) + c + 7

Reorder the terms:
13 + 5c = 2(6 + c) + c + 7
13 + 5c = (6 * 2 + c * 2) + c + 7
13 + 5c = (12 + 2c) + c + 7

Reorder the terms:
13 + 5c = 12 + 7 + 2c + c

Combine like terms: 12 + 7 = 19
13 + 5c = 19 + 2c + c

Combine like terms: 2c + c = 3c
13 + 5c = 19 + 3c

Solving
13 + 5c = 19 + 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.
13 + 5c + -3c = 19 + 3c + -3c

Combine like terms: 5c + -3c = 2c
13 + 2c = 19 + 3c + -3c

Combine like terms: 3c + -3c = 0
13 + 2c = 19 + 0
13 + 2c = 19

Add '-13' to each side of the equation.
13 + -13 + 2c = 19 + -13

Combine like terms: 13 + -13 = 0
0 + 2c = 19 + -13
2c = 19 + -13

Combine like terms: 19 + -13 = 6
2c = 6

Divide each side by '2'.
c = 3

Simplifying
c = 3

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