(x+7)/ x = 7/9
There may be more complex, quicker ways to solve this, but by simply moving around the numbers in order to isolate x, we can solve this question.
(x+7)/x xx 9= 7/color(red)(cancel(color(black)(9))) color(red)(cancel(xx 9))
((x+7) xx 9)/ x = 7
(9x + 63)/ color(red)(cancel(color(black)(x))) color(red)(cancel(xx x)) = 7 color(red)(xx x)
9x + 63 color(red)(-7x)= color(red)(cancel(color(black)(7x) -7x))
2x color(red)(cancel(color(black)(+63) -63))= 0 color(red)(-63)
(color(red)(cancel(color(black)(2)))x)/color(red)(cancel(2)) = -63/color(red)(2)
color(blue)(x = -63/2)
color(blue)(x = -31.5)
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We can check this by substituting the result for the Pronumeral.
(x+7)/ x = 7/9
(-31.5 + 7)/ -31.5 = 7/9
(24.5 color(red)(xx 2))/ (31.5 color(red)(xx 2)) = 7/9
(49 color(red)(-: 7))/(63 color(red)(-: 7)) = 7/9
7/9 = 7/9
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