5(3c-1)-2=12c+8

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Solution for 5(3c-1)-2=12c+8 equation:


Simplifying
5(3c + -1) + -2 = 12c + 8

Reorder the terms:
5(-1 + 3c) + -2 = 12c + 8
(-1 * 5 + 3c * 5) + -2 = 12c + 8
(-5 + 15c) + -2 = 12c + 8

Reorder the terms:
-5 + -2 + 15c = 12c + 8

Combine like terms: -5 + -2 = -7
-7 + 15c = 12c + 8

Reorder the terms:
-7 + 15c = 8 + 12c

Solving
-7 + 15c = 8 + 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.
-7 + 15c + -12c = 8 + 12c + -12c

Combine like terms: 15c + -12c = 3c
-7 + 3c = 8 + 12c + -12c

Combine like terms: 12c + -12c = 0
-7 + 3c = 8 + 0
-7 + 3c = 8

Add '7' to each side of the equation.
-7 + 7 + 3c = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 3c = 8 + 7
3c = 8 + 7

Combine like terms: 8 + 7 = 15
3c = 15

Divide each side by '3'.
c = 5

Simplifying
c = 5

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