Answer :
[tex] \frac{6 - 2}{2 - x} = \frac{4}{7} \\ [/tex]
[tex] \frac{4}{2 - x} = \frac{4}{7} \\ [/tex]
Divided sides by 4
[tex] \frac{4}{2 - x} \div 4 = \frac{4}{7} \div 4 \\ [/tex]
[tex]\frac{4}{2 - x} \times \frac{1}{4} = \frac{4}{7} \times \frac{1}{4} \\ [/tex]
[tex] \frac{1}{2 - x} = \frac{1}{7} \\ [/tex]
Multiply sides by 7
[tex]7 \times \frac{1}{2 - x} = 7 \times \frac{1}{7} \\ [/tex]
[tex] \frac{7}{2 - x} = 1 \\ [/tex]
Multiply sides by ( 2 - x )
[tex](2 - x) \times \frac{7}{2 - x} = 1 \times (2 - x) \\ [/tex]
[tex]7 = 2 - x[/tex]
Plus sides by x
[tex]7 + x = 2 - x + x[/tex]
[tex]x + 7 = 2[/tex]
Subtract sides -7
[tex]x + 7 - 7 = 2 - 7[/tex]
[tex]x = - 5[/tex]
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Done ♥️♥️♥️♥️♥️