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

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


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

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

Reorder the terms:
8 + 2c = 3(-4 + c)
8 + 2c = (-4 * 3 + c * 3)
8 + 2c = (-12 + 3c)

Solving
8 + 2c = -12 + 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.
8 + 2c + -3c = -12 + 3c + -3c

Combine like terms: 2c + -3c = -1c
8 + -1c = -12 + 3c + -3c

Combine like terms: 3c + -3c = 0
8 + -1c = -12 + 0
8 + -1c = -12

Add '-8' to each side of the equation.
8 + -8 + -1c = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -1c = -12 + -8
-1c = -12 + -8

Combine like terms: -12 + -8 = -20
-1c = -20

Divide each side by '-1'.
c = 20

Simplifying
c = 20

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