\[2(x-1)>3(2x+3)\]
1
Expand.
2x−2>6x+92x-2>6x+9

2
Subtract 2x2x from both sides.
−2>6x+9−2x-2>6x+9-2x

3
Simplify  6x+9−2x6x+9-2x  to  4x+94x+9.
−2>4x+9-2>4x+9

4
Subtract 99 from both sides.
−2−9>4x-2-9>4x

5
Simplify  −2−9-2-9  to  −11-11.
−11>4x-11>4x

6
Divide both sides by 44.
−114>x-\frac{11}{4}>x

7
Switch sides.
x<−114x<-\frac{11}{4}

Done

Decimal Form: -2.75
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