3(5c-1)-14=13c+3

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Solution for 3(5c-1)-14=13c+3 equation:


Simplifying
3(5c + -1) + -14 = 13c + 3

Reorder the terms:
3(-1 + 5c) + -14 = 13c + 3
(-1 * 3 + 5c * 3) + -14 = 13c + 3
(-3 + 15c) + -14 = 13c + 3

Reorder the terms:
-3 + -14 + 15c = 13c + 3

Combine like terms: -3 + -14 = -17
-17 + 15c = 13c + 3

Reorder the terms:
-17 + 15c = 3 + 13c

Solving
-17 + 15c = 3 + 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.
-17 + 15c + -13c = 3 + 13c + -13c

Combine like terms: 15c + -13c = 2c
-17 + 2c = 3 + 13c + -13c

Combine like terms: 13c + -13c = 0
-17 + 2c = 3 + 0
-17 + 2c = 3

Add '17' to each side of the equation.
-17 + 17 + 2c = 3 + 17

Combine like terms: -17 + 17 = 0
0 + 2c = 3 + 17
2c = 3 + 17

Combine like terms: 3 + 17 = 20
2c = 20

Divide each side by '2'.
c = 10

Simplifying
c = 10

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