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

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


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

Remove parenthesis around (2 + c)
2 + c = 5(2 + c) + -6(2 + c)
2 + c = (2 * 5 + c * 5) + -6(2 + c)
2 + c = (10 + 5c) + -6(2 + c)
2 + c = 10 + 5c + (2 * -6 + c * -6)
2 + c = 10 + 5c + (-12 + -6c)

Reorder the terms:
2 + c = 10 + -12 + 5c + -6c

Combine like terms: 10 + -12 = -2
2 + c = -2 + 5c + -6c

Combine like terms: 5c + -6c = -1c
2 + c = -2 + -1c

Solving
2 + c = -2 + -1c

Solving for variable 'c'.

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

Add 'c' to each side of the equation.
2 + c + c = -2 + -1c + c

Combine like terms: c + c = 2c
2 + 2c = -2 + -1c + c

Combine like terms: -1c + c = 0
2 + 2c = -2 + 0
2 + 2c = -2

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

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

Combine like terms: -2 + -2 = -4
2c = -4

Divide each side by '2'.
c = -2

Simplifying
c = -2

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