2(5c+1)-24=7c+5

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Solution for 2(5c+1)-24=7c+5 equation:


Simplifying
2(5c + 1) + -24 = 7c + 5

Reorder the terms:
2(1 + 5c) + -24 = 7c + 5
(1 * 2 + 5c * 2) + -24 = 7c + 5
(2 + 10c) + -24 = 7c + 5

Reorder the terms:
2 + -24 + 10c = 7c + 5

Combine like terms: 2 + -24 = -22
-22 + 10c = 7c + 5

Reorder the terms:
-22 + 10c = 5 + 7c

Solving
-22 + 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.
-22 + 10c + -7c = 5 + 7c + -7c

Combine like terms: 10c + -7c = 3c
-22 + 3c = 5 + 7c + -7c

Combine like terms: 7c + -7c = 0
-22 + 3c = 5 + 0
-22 + 3c = 5

Add '22' to each side of the equation.
-22 + 22 + 3c = 5 + 22

Combine like terms: -22 + 22 = 0
0 + 3c = 5 + 22
3c = 5 + 22

Combine like terms: 5 + 22 = 27
3c = 27

Divide each side by '3'.
c = 9

Simplifying
c = 9

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