3x+20=6cx-16

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Solution for 3x+20=6cx-16 equation:


Simplifying
3x + 20 = 6cx + -16

Reorder the terms:
20 + 3x = 6cx + -16

Reorder the terms:
20 + 3x = -16 + 6cx

Solving
20 + 3x = -16 + 6cx

Solving for variable 'x'.

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

Add '-6cx' to each side of the equation.
20 + -6cx + 3x = -16 + 6cx + -6cx

Combine like terms: 6cx + -6cx = 0
20 + -6cx + 3x = -16 + 0
20 + -6cx + 3x = -16

Add '-20' to each side of the equation.
20 + -6cx + -20 + 3x = -16 + -20

Reorder the terms:
20 + -20 + -6cx + 3x = -16 + -20

Combine like terms: 20 + -20 = 0
0 + -6cx + 3x = -16 + -20
-6cx + 3x = -16 + -20

Combine like terms: -16 + -20 = -36
-6cx + 3x = -36

Reorder the terms:
36 + -6cx + 3x = -36 + 36

Combine like terms: -36 + 36 = 0
36 + -6cx + 3x = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + -2cx + x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(12 + -2cx + x)' equal to zero and attempt to solve: Simplifying 12 + -2cx + x = 0 Solving 12 + -2cx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -2cx + -12 + x = 0 + -12 Reorder the terms: 12 + -12 + -2cx + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2cx + x = 0 + -12 -2cx + x = 0 + -12 Combine like terms: 0 + -12 = -12 -2cx + x = -12 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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