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

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


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

Reorder the terms:
3(7 + 2c) + -3c = 7(c + 5)
(7 * 3 + 2c * 3) + -3c = 7(c + 5)
(21 + 6c) + -3c = 7(c + 5)

Combine like terms: 6c + -3c = 3c
21 + 3c = 7(c + 5)

Reorder the terms:
21 + 3c = 7(5 + c)
21 + 3c = (5 * 7 + c * 7)
21 + 3c = (35 + 7c)

Solving
21 + 3c = 35 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
21 + 3c + -7c = 35 + 7c + -7c

Combine like terms: 3c + -7c = -4c
21 + -4c = 35 + 7c + -7c

Combine like terms: 7c + -7c = 0
21 + -4c = 35 + 0
21 + -4c = 35

Add '-21' to each side of the equation.
21 + -21 + -4c = 35 + -21

Combine like terms: 21 + -21 = 0
0 + -4c = 35 + -21
-4c = 35 + -21

Combine like terms: 35 + -21 = 14
-4c = 14

Divide each side by '-4'.
c = -3.5

Simplifying
c = -3.5

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