2(5c-1)-6=3(c-7)-14

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Solution for 2(5c-1)-6=3(c-7)-14 equation:


Simplifying
2(5c + -1) + -6 = 3(c + -7) + -14

Reorder the terms:
2(-1 + 5c) + -6 = 3(c + -7) + -14
(-1 * 2 + 5c * 2) + -6 = 3(c + -7) + -14
(-2 + 10c) + -6 = 3(c + -7) + -14

Reorder the terms:
-2 + -6 + 10c = 3(c + -7) + -14

Combine like terms: -2 + -6 = -8
-8 + 10c = 3(c + -7) + -14

Reorder the terms:
-8 + 10c = 3(-7 + c) + -14
-8 + 10c = (-7 * 3 + c * 3) + -14
-8 + 10c = (-21 + 3c) + -14

Reorder the terms:
-8 + 10c = -21 + -14 + 3c

Combine like terms: -21 + -14 = -35
-8 + 10c = -35 + 3c

Solving
-8 + 10c = -35 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
-8 + 10c + -3c = -35 + 3c + -3c

Combine like terms: 10c + -3c = 7c
-8 + 7c = -35 + 3c + -3c

Combine like terms: 3c + -3c = 0
-8 + 7c = -35 + 0
-8 + 7c = -35

Add '8' to each side of the equation.
-8 + 8 + 7c = -35 + 8

Combine like terms: -8 + 8 = 0
0 + 7c = -35 + 8
7c = -35 + 8

Combine like terms: -35 + 8 = -27
7c = -27

Divide each side by '7'.
c = -3.857142857

Simplifying
c = -3.857142857

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