Hey!
Let's write the problem.
[tex]2\left(4x-3\right)\ \textgreater \ -3\cdot \:3x+5x[/tex]
Since the parenthesis involve multiplication, it can be replaced with a multiplication symbol.
Simplify.
[tex]2\left(4x-3\right)\ \textgreater \ -4x[/tex]
Apply the distributive property.
[tex]8x-6\ \textgreater \ -4x[/tex]
Add 6 to both sides.
[tex]8x-6+6\ \textgreater \ -4x+6[/tex]
[tex]8x\ \textgreater \ -4x+6[/tex]
Add [tex]4x[/tex] to both sides.
[tex]8x+4x\ \textgreater \ -4x+6+4x[/tex]
[tex]12x\ \textgreater \ 6[/tex]
Divide both sides by 12.
[tex]\frac{12x}{12}\ \textgreater \ \frac{6}{12}[/tex]
Our final answer would be,
[tex]x\ \textgreater \ \frac{1}{2}[/tex]
Thanks!
-TetraFish
