A　graphene-based　tunable　electromagnetically　induced　transparency　(EIT)-like　metamaterial　structure　operating　at　the　terahertz　regime　is　proposed　and　numerically　analyzed.　The　unit　cell　of　the　metamaterial　structure　consists　of　a　split-ring　resonator　and　twofolded-line　pair　resonators,　performing　as　the　quasi-dark　mode　and　bright　mode,　respectively.　When　the　incident　waves　vertically　illuminate　upon　the　metamaterial　structure,　a　transmission　peak　can　be　observed.　Moreover,　the　frequency　of　the　transparency　window　can　be　flexibly　adjusted　by　changing　the　Fermi　energy　level　of　graphene.　A　classical　coupled　two-oscillator　model　is　employed　to　theoretically　analyze　the　physical　mechanism　of　EIT-like　phenomenon,　which　is　due　to　the　near-field　coupling　effect　between　the　bright　and　the　quasi-dark　modes.　The　proposed　work　will　be　a　good　candidate　for　the　design　of　different　graphene-based　tunable　EIT　devices　at　different　frequency　spectra　with　potential　applications　in　optical　sensors.