2+3(c+6)=3(2c+8)

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Solution for 2+3(c+6)=3(2c+8) equation: 


Simplifying
2 + 3(c + 6) = 3(2c + 8)

Reorder the terms:
2 + 3(6 + c) = 3(2c + 8)
2 + (6 * 3 + c * 3) = 3(2c + 8)
2 + (18 + 3c) = 3(2c + 8)

Combine like terms: 2 + 18 = 20
20 + 3c = 3(2c + 8)

Reorder the terms:
20 + 3c = 3(8 + 2c)
20 + 3c = (8 * 3 + 2c * 3)
20 + 3c = (24 + 6c)

Solving
20 + 3c = 24 + 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.
20 + 3c + -6c = 24 + 6c + -6c

Combine like terms: 3c + -6c = -3c
20 + -3c = 24 + 6c + -6c

Combine like terms: 6c + -6c = 0
20 + -3c = 24 + 0
20 + -3c = 24

Add '-20' to each side of the equation.
20 + -20 + -3c = 24 + -20

Combine like terms: 20 + -20 = 0
0 + -3c = 24 + -20
-3c = 24 + -20

Combine like terms: 24 + -20 = 4
-3c = 4

Divide each side by '-3'.
c = -1.333333333

Simplifying
c = -1.333333333

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