2x-4=sin(6x)

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Solution for 2x-4=sin(6x) equation:


Simplifying
2x + -4 = sin(6x)

Reorder the terms:
-4 + 2x = sin(6x)

Remove parenthesis around (6x)
-4 + 2x = ins * 6x

Reorder the terms for easier multiplication:
-4 + 2x = 6ins * x

Multiply ins * x
-4 + 2x = 6insx

Solving
-4 + 2x = 6insx

Solving for variable 'x'.

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

Add '-6insx' to each side of the equation.
-4 + -6insx + 2x = 6insx + -6insx

Combine like terms: 6insx + -6insx = 0
-4 + -6insx + 2x = 0

Add '4' to each side of the equation.
-4 + -6insx + 4 + 2x = 0 + 4

Reorder the terms:
-4 + 4 + -6insx + 2x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -6insx + 2x = 0 + 4
-6insx + 2x = 0 + 4

Combine like terms: 0 + 4 = 4
-6insx + 2x = 4

Reorder the terms:
-4 + -6insx + 2x = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -6insx + 2x = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + -3insx + x)' equal to zero and attempt to solve: Simplifying -2 + -3insx + x = 0 Solving -2 + -3insx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3insx + 2 + x = 0 + 2 Reorder the terms: -2 + 2 + -3insx + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3insx + x = 0 + 2 -3insx + x = 0 + 2 Combine like terms: 0 + 2 = 2 -3insx + x = 2 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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