8(5c-1)-14=38c+8

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Solution for 8(5c-1)-14=38c+8 equation:


Simplifying
8(5c + -1) + -14 = 38c + 8

Reorder the terms:
8(-1 + 5c) + -14 = 38c + 8
(-1 * 8 + 5c * 8) + -14 = 38c + 8
(-8 + 40c) + -14 = 38c + 8

Reorder the terms:
-8 + -14 + 40c = 38c + 8

Combine like terms: -8 + -14 = -22
-22 + 40c = 38c + 8

Reorder the terms:
-22 + 40c = 8 + 38c

Solving
-22 + 40c = 8 + 38c

Solving for variable 'c'.

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

Add '-38c' to each side of the equation.
-22 + 40c + -38c = 8 + 38c + -38c

Combine like terms: 40c + -38c = 2c
-22 + 2c = 8 + 38c + -38c

Combine like terms: 38c + -38c = 0
-22 + 2c = 8 + 0
-22 + 2c = 8

Add '22' to each side of the equation.
-22 + 22 + 2c = 8 + 22

Combine like terms: -22 + 22 = 0
0 + 2c = 8 + 22
2c = 8 + 22

Combine like terms: 8 + 22 = 30
2c = 30

Divide each side by '2'.
c = 15

Simplifying
c = 15

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