5x-(c-18)=6-2(c+15)

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Solution for 5x-(c-18)=6-2(c+15) equation:


Simplifying
5x + -1(c + -18) = 6 + -2(c + 15)

Reorder the terms:
5x + -1(-18 + c) = 6 + -2(c + 15)
5x + (-18 * -1 + c * -1) = 6 + -2(c + 15)
5x + (18 + -1c) = 6 + -2(c + 15)

Reorder the terms:
18 + -1c + 5x = 6 + -2(c + 15)

Reorder the terms:
18 + -1c + 5x = 6 + -2(15 + c)
18 + -1c + 5x = 6 + (15 * -2 + c * -2)
18 + -1c + 5x = 6 + (-30 + -2c)

Combine like terms: 6 + -30 = -24
18 + -1c + 5x = -24 + -2c

Solving
18 + -1c + 5x = -24 + -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.
18 + -1c + 2c + 5x = -24 + -2c + 2c

Combine like terms: -1c + 2c = 1c
18 + 1c + 5x = -24 + -2c + 2c

Combine like terms: -2c + 2c = 0
18 + 1c + 5x = -24 + 0
18 + 1c + 5x = -24

Add '-18' to each side of the equation.
18 + 1c + -18 + 5x = -24 + -18

Reorder the terms:
18 + -18 + 1c + 5x = -24 + -18

Combine like terms: 18 + -18 = 0
0 + 1c + 5x = -24 + -18
1c + 5x = -24 + -18

Combine like terms: -24 + -18 = -42
1c + 5x = -42

Add '-5x' to each side of the equation.
1c + 5x + -5x = -42 + -5x

Combine like terms: 5x + -5x = 0
1c + 0 = -42 + -5x
1c = -42 + -5x

Divide each side by '1'.
c = -42 + -5x

Simplifying
c = -42 + -5x

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