The words "at least" tell you that $x$ is greater than or equal to some expression. Which inequality symbol matches "at least"?

After you plug in $y = 5$ and simplify the right-hand side, you will get an inequality of the form $x \ge$ (some number). What is the smallest $x$ can be if it must be greater than or equal to that number?

In Desmos, type the expression 2*5+4 (this represents "4 more than twice the value of $y$" when $y = 5$).

Look at the numerical result Desmos gives for 2*5+4. That value is the boundary number in the inequality $x \ge$ (that result), and it represents the least possible value of $x$ that satisfies the condition.

"Twice the value of $y$" means $2y$.

"4 more than twice the value of $y$" becomes $2y + 4$.

"$x$ is at least 4 more than twice the value of $y$" means that $x$ is greater than or equal to that expression:

You are told that $y = 5$. Substitute $5$ for $y$ in the inequality:

Compute the right-hand side step by step:

So the inequality becomes

The inequality $x \ge 14$ means $x$ can be $14$ or any number larger than $14$.

The least possible value that satisfies this is when $x$ is exactly $14$.

So, the least possible value of $x$ is 14.