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The phrase "a widely accepted solution" is correct and usable in written English.
You can use it when referring to a method or approach that is generally recognized and endorsed by a large number of people or experts in a particular field.
Example: "The new recycling program is considered a widely accepted solution to reduce waste in urban areas."
Alternatives: "a commonly endorsed solution" or "a generally recognized solution."
Exact(5)
Outwardly, at least, it appeared that the emperor had found a widely accepted solution.
By the 1920s, plastic surgery was a widely accepted solution to female dissatisfaction — so much so that a New York newspaper staged a "Homely Girl Contest" and offered a physical makeover to the woman who most compellingly described her need for one.
The IEEE 802.15.4 WPAN standard provides a widely accepted solution for low-cost and low-power wireless communication, with a potential to cater to many types of application scenarios.
Meanwhile, multiple-input multiple-output (MIMO) technology, including the vertical bell-labs layer space-time (V-BLAST) [4] and the Alamouti' space-time block code (STBC) [5], is a widely accepted solution for various wireless point-to-point communication systems.
Remote procedure calling and Web services are a widely accepted solution to provide a single programming interface to multiple languages.
Similar(55)
The most widely accepted solution to the requirement that a theory of decisional capacity permit some irrational decisions but forbid others, is to construe decisional capacity as a matter of process (Buchanan & Brock 1989; Freedman 1981).
The most widely accepted solution to this problem makes use of a slightly different (and slightly technical) notion of length, known as "generalized affine length".[1] Unlike proper length, this generalized affine length depends on some arbitrary choices (roughly speaking, the length will vary depending on the coordinates one chooses).
The widely accepted solution for the SLP is finding roads which can represent a broader range of origin destination (OD) travel demand.
The most widely accepted solution for schizophrenia was Slater's model invoking the idea of a dominant gene with "incomplete penetrance" (some people carry the gene but do not show the disorder).
Four dimensionalism is one, widely accepted, solution to those puzzles.
The widely accepted solution for the long-term management of higher activity radioactive waste is disposal in a suitably engineered facility, located deep underground.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com