2x=5sin(2x)

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Solution for 2x=5sin(2x) equation: 


Simplifying
2x = 5sin(2x)

Remove parenthesis around (2x)
2x = 5ins * 2x

Reorder the terms for easier multiplication:
2x = 5 * 2ins * x

Multiply 5 * 2
2x = 10ins * x

Multiply ins * x
2x = 10insx

Solving
2x = 10insx

Solving for variable 'x'.

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

Add '-10insx' to each side of the equation.
-10insx + 2x = 10insx + -10insx

Combine like terms: 10insx + -10insx = 0
-10insx + 2x = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-5ins + 1) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-5ins + 1)' equal to zero and attempt to solve:

Simplifying
-5ins + 1 = 0

Reorder the terms:
1 + -5ins = 0

Solving
1 + -5ins = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5ins = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5ins = 0 + -1
-5ins = 0 + -1

Combine like terms: 0 + -1 = -1
-5ins = -1

Add '5ins' to each side of the equation.
-5ins + 5ins = -1 + 5ins

Combine like terms: -5ins + 5ins = 0
0 = -1 + 5ins

Simplifying
0 = -1 + 5ins

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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