Math Snap

STEP 1

Assumptions1. The given inequality is $4(5x+3) \leq18x+30$
. We need to solve for $x$

STEP 2

First, we need to distribute the $4$ on the left side of the inequality.
$$4(5x+) =20x +12$$So, the inequality becomes$$20x +12 \leq18x +30$$

STEP 3

Next, we need to isolate $x$ by subtracting $18x$ from both sides of the inequality.
$$20x -18x +12 \leq18x -18x +30$$This simplifies to$$2x +12 \leq30$$

STEP 4

Then, we subtract $12$ from both sides of the inequality to isolate $2x$.
$$2x +12 -12 \leq30 -12$$This simplifies to$$2x \leq18$$

Finally, we divide both sides of the inequality by $2$ to solve for $x$.
$$\frac{2x}{2} \leq \frac{18}{2}$$This simplifies to$$x \leq9$$So, the solution to the inequality $4(5x+3) \leq18x+30$ is $x \leq9$.