3c(x+2)-5=c(x-3)

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


Simplifying
3c(x + 2) + -5 = c(x + -3)

Reorder the terms:
3c(2 + x) + -5 = c(x + -3)
(2 * 3c + x * 3c) + -5 = c(x + -3)
(6c + 3cx) + -5 = c(x + -3)

Reorder the terms:
-5 + 6c + 3cx = c(x + -3)

Reorder the terms:
-5 + 6c + 3cx = c(-3 + x)
-5 + 6c + 3cx = (-3 * c + x * c)
-5 + 6c + 3cx = (-3c + cx)

Solving
-5 + 6c + 3cx = -3c + cx

Solving for variable 'c'.

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

Add '3c' to each side of the equation.
-5 + 6c + 3c + 3cx = -3c + 3c + cx

Combine like terms: 6c + 3c = 9c
-5 + 9c + 3cx = -3c + 3c + cx

Combine like terms: -3c + 3c = 0
-5 + 9c + 3cx = 0 + cx
-5 + 9c + 3cx = cx

Add '-1cx' to each side of the equation.
-5 + 9c + 3cx + -1cx = cx + -1cx

Combine like terms: 3cx + -1cx = 2cx
-5 + 9c + 2cx = cx + -1cx

Combine like terms: cx + -1cx = 0
-5 + 9c + 2cx = 0

Add '5' to each side of the equation.
-5 + 9c + 5 + 2cx = 0 + 5

Reorder the terms:
-5 + 5 + 9c + 2cx = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 9c + 2cx = 0 + 5
9c + 2cx = 0 + 5

Combine like terms: 0 + 5 = 5
9c + 2cx = 5

Reorder the terms:
-5 + 9c + 2cx = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 9c + 2cx = 0

The solution to this equation could not be determined.

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