2(c+4)=3(2c-13)

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Solution for 2(c+4)=3(2c-13) equation:


Simplifying
2(c + 4) = 3(2c + -13)

Reorder the terms:
2(4 + c) = 3(2c + -13)
(4 * 2 + c * 2) = 3(2c + -13)
(8 + 2c) = 3(2c + -13)

Reorder the terms:
8 + 2c = 3(-13 + 2c)
8 + 2c = (-13 * 3 + 2c * 3)
8 + 2c = (-39 + 6c)

Solving
8 + 2c = -39 + 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.
8 + 2c + -6c = -39 + 6c + -6c

Combine like terms: 2c + -6c = -4c
8 + -4c = -39 + 6c + -6c

Combine like terms: 6c + -6c = 0
8 + -4c = -39 + 0
8 + -4c = -39

Add '-8' to each side of the equation.
8 + -8 + -4c = -39 + -8

Combine like terms: 8 + -8 = 0
0 + -4c = -39 + -8
-4c = -39 + -8

Combine like terms: -39 + -8 = -47
-4c = -47

Divide each side by '-4'.
c = 11.75

Simplifying
c = 11.75

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