3(5c-1)-6=12c+6

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Solution for 3(5c-1)-6=12c+6 equation:


Simplifying
3(5c + -1) + -6 = 12c + 6

Reorder the terms:
3(-1 + 5c) + -6 = 12c + 6
(-1 * 3 + 5c * 3) + -6 = 12c + 6
(-3 + 15c) + -6 = 12c + 6

Reorder the terms:
-3 + -6 + 15c = 12c + 6

Combine like terms: -3 + -6 = -9
-9 + 15c = 12c + 6

Reorder the terms:
-9 + 15c = 6 + 12c

Solving
-9 + 15c = 6 + 12c

Solving for variable 'c'.

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

Add '-12c' to each side of the equation.
-9 + 15c + -12c = 6 + 12c + -12c

Combine like terms: 15c + -12c = 3c
-9 + 3c = 6 + 12c + -12c

Combine like terms: 12c + -12c = 0
-9 + 3c = 6 + 0
-9 + 3c = 6

Add '9' to each side of the equation.
-9 + 9 + 3c = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 3c = 6 + 9
3c = 6 + 9

Combine like terms: 6 + 9 = 15
3c = 15

Divide each side by '3'.
c = 5

Simplifying
c = 5

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