7x-cx-2=3cx+4

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Solution for 7x-cx-2=3cx+4 equation:


Simplifying
7x + -1cx + -2 = 3cx + 4

Reorder the terms:
-2 + -1cx + 7x = 3cx + 4

Reorder the terms:
-2 + -1cx + 7x = 4 + 3cx

Solving
-2 + -1cx + 7x = 4 + 3cx

Solving for variable 'c'.

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

Add '-3cx' to each side of the equation.
-2 + -1cx + -3cx + 7x = 4 + 3cx + -3cx

Combine like terms: -1cx + -3cx = -4cx
-2 + -4cx + 7x = 4 + 3cx + -3cx

Combine like terms: 3cx + -3cx = 0
-2 + -4cx + 7x = 4 + 0
-2 + -4cx + 7x = 4

Add '2' to each side of the equation.
-2 + -4cx + 2 + 7x = 4 + 2

Reorder the terms:
-2 + 2 + -4cx + 7x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + -4cx + 7x = 4 + 2
-4cx + 7x = 4 + 2

Combine like terms: 4 + 2 = 6
-4cx + 7x = 6

Add '-7x' to each side of the equation.
-4cx + 7x + -7x = 6 + -7x

Combine like terms: 7x + -7x = 0
-4cx + 0 = 6 + -7x
-4cx = 6 + -7x

Divide each side by '-4x'.
c = -1.5x-1 + 1.75

Simplifying
c = -1.5x-1 + 1.75

Reorder the terms:
c = 1.75 + -1.5x-1

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