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

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


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

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

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

Combine like terms: -12 + 7 = -5
-5 + 2c = 5 + -3(c + -2)

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

Combine like terms: 5 + 6 = 11
-5 + 2c = 11 + -3c

Solving
-5 + 2c = 11 + -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.
-5 + 2c + 3c = 11 + -3c + 3c

Combine like terms: 2c + 3c = 5c
-5 + 5c = 11 + -3c + 3c

Combine like terms: -3c + 3c = 0
-5 + 5c = 11 + 0
-5 + 5c = 11

Add '5' to each side of the equation.
-5 + 5 + 5c = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 5c = 11 + 5
5c = 11 + 5

Combine like terms: 11 + 5 = 16
5c = 16

Divide each side by '5'.
c = 3.2

Simplifying
c = 3.2

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