arrow_back Solve $2(x-1)>3(2 x+3)$

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Solve $2(x-1)>3(2 x+3)$

1 Expand.
$2 x-2>6 x+9$
(2) Subtract $2 x$ from both sides.
$-2>6 x+9-2 x$
3 Simplify $6 x+9-2 x$ to $4 x+9$.
$-2>4 x+9$
4) Subtract 9 from both sides.
$-2-9>4 x$

5 Simplify $-2-9$ to $-11$.
$-11>4 x$
6 Divide both sides by 4 .
$-\frac{11}{4}>x$
7 Switch sides.
$x<-\frac{11}{4}$
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