-(2-5c)+5(-3c-2)=4c-6c

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Solution for -(2-5c)+5(-3c-2)=4c-6c equation:


Simplifying
-1(2 + -5c) + 5(-3c + -2) = 4c + -6c
(2 * -1 + -5c * -1) + 5(-3c + -2) = 4c + -6c
(-2 + 5c) + 5(-3c + -2) = 4c + -6c

Reorder the terms:
-2 + 5c + 5(-2 + -3c) = 4c + -6c
-2 + 5c + (-2 * 5 + -3c * 5) = 4c + -6c
-2 + 5c + (-10 + -15c) = 4c + -6c

Reorder the terms:
-2 + -10 + 5c + -15c = 4c + -6c

Combine like terms: -2 + -10 = -12
-12 + 5c + -15c = 4c + -6c

Combine like terms: 5c + -15c = -10c
-12 + -10c = 4c + -6c

Combine like terms: 4c + -6c = -2c
-12 + -10c = -2c

Solving
-12 + -10c = -2c

Solving for variable 'c'.

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

Add '2c' to each side of the equation.
-12 + -10c + 2c = -2c + 2c

Combine like terms: -10c + 2c = -8c
-12 + -8c = -2c + 2c

Combine like terms: -2c + 2c = 0
-12 + -8c = 0

Add '12' to each side of the equation.
-12 + 12 + -8c = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -8c = 0 + 12
-8c = 0 + 12

Combine like terms: 0 + 12 = 12
-8c = 12

Divide each side by '-8'.
c = -1.5

Simplifying
c = -1.5

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