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[tex]\frac{1}{4} x^ + \frac{7}{3} = \frac{2}{7} x^ - \frac{1}{4}[/tex]

[tex]\frac{1}{4}x - \frac{2}{7}x = - \frac{7}{3} - \frac{1}{4} [/tex]

[tex]\frac{1*7}{4*7}x - \frac{2*4}{7*4}x = - \frac{7*4}{3*4} - \frac{1*3}{4*3} [/tex]

[tex]\frac{7}{28}x - \frac{8}{28}x = - \frac{28}{12} - \frac{3}{12} [/tex]

[tex]- \frac{1}{28}x = - \frac{31}{12} [/tex]

[tex]-x = - \frac{31}{12}*\frac{28}{1}[/tex]

[tex]-x = - \frac{868}{12}[/tex]

[tex]-x = - \frac{217}{3}[/tex]

[tex]x = \frac{217}{3}[/tex]

Bonsoir

[tex]\dfrac{1}{4}x+\dfrac{7}{3}=\dfrac{2}{7}x-\dfrac{1}{4}\\\\\dfrac{1\times21}{4\times21}x+\dfrac{7\times28}{3\times28}=\dfrac{2\times12}{7\times12}x-\dfrac{1\times21}{4\times21}\\\\\dfrac{21x}{84}+\dfrac{196}{84}=\dfrac{24x}{84}-\dfrac{21}{84}\\\\21x+196=24x-21\\\\21x-24x=-21-196\\\\-3x=-217\\\\x=\dfrac{-217}{-3}=\dfrac{217}{3}[/tex]

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