5(3c-7)=13(c+3)

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Solution for 5(3c-7)=13(c+3) equation:


Simplifying
5(3c + -7) = 13(c + 3)

Reorder the terms:
5(-7 + 3c) = 13(c + 3)
(-7 * 5 + 3c * 5) = 13(c + 3)
(-35 + 15c) = 13(c + 3)

Reorder the terms:
-35 + 15c = 13(3 + c)
-35 + 15c = (3 * 13 + c * 13)
-35 + 15c = (39 + 13c)

Solving
-35 + 15c = 39 + 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.
-35 + 15c + -13c = 39 + 13c + -13c

Combine like terms: 15c + -13c = 2c
-35 + 2c = 39 + 13c + -13c

Combine like terms: 13c + -13c = 0
-35 + 2c = 39 + 0
-35 + 2c = 39

Add '35' to each side of the equation.
-35 + 35 + 2c = 39 + 35

Combine like terms: -35 + 35 = 0
0 + 2c = 39 + 35
2c = 39 + 35

Combine like terms: 39 + 35 = 74
2c = 74

Divide each side by '2'.
c = 37

Simplifying
c = 37

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