As a reminder, since 2008, the state has witness some of the closest presidential elections in the nation among the states, following the 13 percentage-point victories for George W. Bush in 2000 and 2004:
Since 2008, the number of voters casting ballots has gone up about 200,000 each election (+194,583 in 2012 from 2008's total, and +236,192 in 2016 over 2012's total). Voter turnout has typically been 68 to 69 percent of the registered voter pool, equating to around 4.5 million ballots cast.
To put things into a comparative perspective, North Carolina tends to be about 3.5 percent more Republican since 2008 than the nation, using the Republican presidential candidates' performance nationally to the state's GOP performance.
Thus, it's a fair assessment to say that North Carolina is a "center/lean-right" kind of a state.
The following data is from the Cooperative Congressional Election Study, which, along with the American National Election Study, is a significant survey of Americans in election years, and provides some data, trends, and patterns to consider as we move into the 2020 election.