How do you solve $3/4x+7/12=1/9x+5/6$ ?

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Answer 1 · 2018-04-14T01:01:25

$x = 9/23$

$3/4x + 7/12 = 1/9x + 5/6$

Multiplying through by their LCM which is $36$

$36(3/4x) + 36(7/12) = 36(1/9x) + 36(5/6)$

$9(3x) + 3(7) = 4(1x) + 6(5)$

$27x + 21 = 4x + 30$

$27x - 4x = 30 - 21$

$23x = 9$

$x = 9/23$

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