I need help with this yr 9 algebraic question please?

Question

$\frac{2 x - 1}{3} - \frac{5 x - 6}{6} = - 2$ $(2x-1)/3-(5x-6)/6=-2$

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Answer 1 · 2018-04-30T08:21:30

$x = 16$ $x=16$

First, multiply everything by $6$ $6$ to get:
$2 (2 x - 1) - (5 x - 6) = - 12$ $2(2x-1)-(5x-6)=-12$

$4 x - 2 - 5 x + 6 = - 12$ $4x-2-5x+6=-12$

$- x + 4 = - 12$ $-x+4=-12$

$x - 4 = 12$ $x-4=12$

$x = 16$ $x=16$