4c-15+3c-6=5c-10+c-8

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Solution for 4c-15+3c-6=5c-10+c-8 equation:


Simplifying
4c + -15 + 3c + -6 = 5c + -10 + c + -8

Reorder the terms:
-15 + -6 + 4c + 3c = 5c + -10 + c + -8

Combine like terms: -15 + -6 = -21
-21 + 4c + 3c = 5c + -10 + c + -8

Combine like terms: 4c + 3c = 7c
-21 + 7c = 5c + -10 + c + -8

Reorder the terms:
-21 + 7c = -10 + -8 + 5c + c

Combine like terms: -10 + -8 = -18
-21 + 7c = -18 + 5c + c

Combine like terms: 5c + c = 6c
-21 + 7c = -18 + 6c

Solving
-21 + 7c = -18 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
-21 + 7c + -6c = -18 + 6c + -6c

Combine like terms: 7c + -6c = 1c
-21 + 1c = -18 + 6c + -6c

Combine like terms: 6c + -6c = 0
-21 + 1c = -18 + 0
-21 + 1c = -18

Add '21' to each side of the equation.
-21 + 21 + 1c = -18 + 21

Combine like terms: -21 + 21 = 0
0 + 1c = -18 + 21
1c = -18 + 21

Combine like terms: -18 + 21 = 3
1c = 3

Divide each side by '1'.
c = 3

Simplifying
c = 3

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