5c-2(4c-9)=5+5(2-c)

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Solution for 5c-2(4c-9)=5+5(2-c) equation:


Simplifying
5c + -2(4c + -9) = 5 + 5(2 + -1c)

Reorder the terms:
5c + -2(-9 + 4c) = 5 + 5(2 + -1c)
5c + (-9 * -2 + 4c * -2) = 5 + 5(2 + -1c)
5c + (18 + -8c) = 5 + 5(2 + -1c)

Reorder the terms:
18 + 5c + -8c = 5 + 5(2 + -1c)

Combine like terms: 5c + -8c = -3c
18 + -3c = 5 + 5(2 + -1c)
18 + -3c = 5 + (2 * 5 + -1c * 5)
18 + -3c = 5 + (10 + -5c)

Combine like terms: 5 + 10 = 15
18 + -3c = 15 + -5c

Solving
18 + -3c = 15 + -5c

Solving for variable 'c'.

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

Add '5c' to each side of the equation.
18 + -3c + 5c = 15 + -5c + 5c

Combine like terms: -3c + 5c = 2c
18 + 2c = 15 + -5c + 5c

Combine like terms: -5c + 5c = 0
18 + 2c = 15 + 0
18 + 2c = 15

Add '-18' to each side of the equation.
18 + -18 + 2c = 15 + -18

Combine like terms: 18 + -18 = 0
0 + 2c = 15 + -18
2c = 15 + -18

Combine like terms: 15 + -18 = -3
2c = -3

Divide each side by '2'.
c = -1.5

Simplifying
c = -1.5

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