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5x+\frac{3}{2}+\frac{2}{3}x=6
Me tāpiri te \frac{2}{3}x ki ngā taha e rua.
\frac{17}{3}x+\frac{3}{2}=6
Pahekotia te 5x me \frac{2}{3}x, ka \frac{17}{3}x.
\frac{17}{3}x=6-\frac{3}{2}
Tangohia te \frac{3}{2} mai i ngā taha e rua.
\frac{17}{3}x=\frac{12}{2}-\frac{3}{2}
Me tahuri te 6 ki te hautau \frac{12}{2}.
\frac{17}{3}x=\frac{12-3}{2}
Tā te mea he rite te tauraro o \frac{12}{2} me \frac{3}{2}, me tango rāua mā te tango i ō raua taurunga.
\frac{17}{3}x=\frac{9}{2}
Tangohia te 3 i te 12, ka 9.
x=\frac{9}{2}\times \frac{3}{17}
Me whakarea ngā taha e rua ki te \frac{3}{17}, te tau utu o \frac{17}{3}.
x=\frac{9\times 3}{2\times 17}
Me whakarea te \frac{9}{2} ki te \frac{3}{17} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
x=\frac{27}{34}
Mahia ngā whakarea i roto i te hautanga \frac{9\times 3}{2\times 17}.