5(5c-1)-3=22c+7

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Solution for 5(5c-1)-3=22c+7 equation:


Simplifying
5(5c + -1) + -3 = 22c + 7

Reorder the terms:
5(-1 + 5c) + -3 = 22c + 7
(-1 * 5 + 5c * 5) + -3 = 22c + 7
(-5 + 25c) + -3 = 22c + 7

Reorder the terms:
-5 + -3 + 25c = 22c + 7

Combine like terms: -5 + -3 = -8
-8 + 25c = 22c + 7

Reorder the terms:
-8 + 25c = 7 + 22c

Solving
-8 + 25c = 7 + 22c

Solving for variable 'c'.

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

Add '-22c' to each side of the equation.
-8 + 25c + -22c = 7 + 22c + -22c

Combine like terms: 25c + -22c = 3c
-8 + 3c = 7 + 22c + -22c

Combine like terms: 22c + -22c = 0
-8 + 3c = 7 + 0
-8 + 3c = 7

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

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

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

Divide each side by '3'.
c = 5

Simplifying
c = 5

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