5(3c-1)-5=13c+2

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Solution for 5(3c-1)-5=13c+2 equation:


Simplifying
5(3c + -1) + -5 = 13c + 2

Reorder the terms:
5(-1 + 3c) + -5 = 13c + 2
(-1 * 5 + 3c * 5) + -5 = 13c + 2
(-5 + 15c) + -5 = 13c + 2

Reorder the terms:
-5 + -5 + 15c = 13c + 2

Combine like terms: -5 + -5 = -10
-10 + 15c = 13c + 2

Reorder the terms:
-10 + 15c = 2 + 13c

Solving
-10 + 15c = 2 + 13c

Solving for variable 'c'.

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

Add '-13c' to each side of the equation.
-10 + 15c + -13c = 2 + 13c + -13c

Combine like terms: 15c + -13c = 2c
-10 + 2c = 2 + 13c + -13c

Combine like terms: 13c + -13c = 0
-10 + 2c = 2 + 0
-10 + 2c = 2

Add '10' to each side of the equation.
-10 + 10 + 2c = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 2c = 2 + 10
2c = 2 + 10

Combine like terms: 2 + 10 = 12
2c = 12

Divide each side by '2'.
c = 6

Simplifying
c = 6

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