2c-5=11+6(c+2)

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Solution for 2c-5=11+6(c+2) equation:


Simplifying
2c + -5 = 11 + 6(c + 2)

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

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

Combine like terms: 11 + 12 = 23
-5 + 2c = 23 + 6c

Solving
-5 + 2c = 23 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
-5 + 2c + -6c = 23 + 6c + -6c

Combine like terms: 2c + -6c = -4c
-5 + -4c = 23 + 6c + -6c

Combine like terms: 6c + -6c = 0
-5 + -4c = 23 + 0
-5 + -4c = 23

Add '5' to each side of the equation.
-5 + 5 + -4c = 23 + 5

Combine like terms: -5 + 5 = 0
0 + -4c = 23 + 5
-4c = 23 + 5

Combine like terms: 23 + 5 = 28
-4c = 28

Divide each side by '-4'.
c = -7

Simplifying
c = -7

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