12c-2(c-3)=11-5(2c-7)

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Solution for 12c-2(c-3)=11-5(2c-7) equation:


Simplifying
12c + -2(c + -3) = 11 + -5(2c + -7)

Reorder the terms:
12c + -2(-3 + c) = 11 + -5(2c + -7)
12c + (-3 * -2 + c * -2) = 11 + -5(2c + -7)
12c + (6 + -2c) = 11 + -5(2c + -7)

Reorder the terms:
6 + 12c + -2c = 11 + -5(2c + -7)

Combine like terms: 12c + -2c = 10c
6 + 10c = 11 + -5(2c + -7)

Reorder the terms:
6 + 10c = 11 + -5(-7 + 2c)
6 + 10c = 11 + (-7 * -5 + 2c * -5)
6 + 10c = 11 + (35 + -10c)

Combine like terms: 11 + 35 = 46
6 + 10c = 46 + -10c

Solving
6 + 10c = 46 + -10c

Solving for variable 'c'.

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

Add '10c' to each side of the equation.
6 + 10c + 10c = 46 + -10c + 10c

Combine like terms: 10c + 10c = 20c
6 + 20c = 46 + -10c + 10c

Combine like terms: -10c + 10c = 0
6 + 20c = 46 + 0
6 + 20c = 46

Add '-6' to each side of the equation.
6 + -6 + 20c = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 20c = 46 + -6
20c = 46 + -6

Combine like terms: 46 + -6 = 40
20c = 40

Divide each side by '20'.
c = 2

Simplifying
c = 2

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