2(5c+1)-12=7c+5

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Solution for 2(5c+1)-12=7c+5 equation: 


Simplifying
2(5c + 1) + -12 = 7c + 5

Reorder the terms:
2(1 + 5c) + -12 = 7c + 5
(1 * 2 + 5c * 2) + -12 = 7c + 5
(2 + 10c) + -12 = 7c + 5

Reorder the terms:
2 + -12 + 10c = 7c + 5

Combine like terms: 2 + -12 = -10
-10 + 10c = 7c + 5

Reorder the terms:
-10 + 10c = 5 + 7c

Solving
-10 + 10c = 5 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
-10 + 10c + -7c = 5 + 7c + -7c

Combine like terms: 10c + -7c = 3c
-10 + 3c = 5 + 7c + -7c

Combine like terms: 7c + -7c = 0
-10 + 3c = 5 + 0
-10 + 3c = 5

Add '10' to each side of the equation.
-10 + 10 + 3c = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 3c = 5 + 10
3c = 5 + 10

Combine like terms: 5 + 10 = 15
3c = 15

Divide each side by '3'.
c = 5

Simplifying
c = 5

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