2(5c-1)-5=7c+8

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Solution for 2(5c-1)-5=7c+8 equation:


Simplifying
2(5c + -1) + -5 = 7c + 8

Reorder the terms:
2(-1 + 5c) + -5 = 7c + 8
(-1 * 2 + 5c * 2) + -5 = 7c + 8
(-2 + 10c) + -5 = 7c + 8

Reorder the terms:
-2 + -5 + 10c = 7c + 8

Combine like terms: -2 + -5 = -7
-7 + 10c = 7c + 8

Reorder the terms:
-7 + 10c = 8 + 7c

Solving
-7 + 10c = 8 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
-7 + 10c + -7c = 8 + 7c + -7c

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

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

Add '7' to each side of the equation.
-7 + 7 + 3c = 8 + 7

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

Combine like terms: 8 + 7 = 15
3c = 15

Divide each side by '3'.
c = 5

Simplifying
c = 5

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