5(2c+6)=7(c-15)

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Solution for 5(2c+6)=7(c-15) equation:


Simplifying
5(2c + 6) = 7(c + -15)

Reorder the terms:
5(6 + 2c) = 7(c + -15)
(6 * 5 + 2c * 5) = 7(c + -15)
(30 + 10c) = 7(c + -15)

Reorder the terms:
30 + 10c = 7(-15 + c)
30 + 10c = (-15 * 7 + c * 7)
30 + 10c = (-105 + 7c)

Solving
30 + 10c = -105 + 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.
30 + 10c + -7c = -105 + 7c + -7c

Combine like terms: 10c + -7c = 3c
30 + 3c = -105 + 7c + -7c

Combine like terms: 7c + -7c = 0
30 + 3c = -105 + 0
30 + 3c = -105

Add '-30' to each side of the equation.
30 + -30 + 3c = -105 + -30

Combine like terms: 30 + -30 = 0
0 + 3c = -105 + -30
3c = -105 + -30

Combine like terms: -105 + -30 = -135
3c = -135

Divide each side by '3'.
c = -45

Simplifying
c = -45

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