#### Answer

x $\geq$ 7

#### Work Step by Step

Our inequality to solve is:
3(2x-1) $\geq$ 5x+4
First lets simplify our inequality by distributing the 3 on the left side of the inequality. This leads us to:
6x-3 $\geq$ 5x+4
Our goal is to isolate the variable so first lets eliminate the two x-terms on both sides of the inequality and make them one single term by subtracting 5x from both sides of of the inequality. This gives us:
x-3 $\geq$ 4
Now lets add 3 to both sides so that we have fully isolated the variable which leads us to the solution of the inequality. This gives us:
x $\geq$ 7