The inequality in the image is:

$4x - 2 < 5 - 3x$

Let's solve this step by step.

Step 1: Move the terms involving $x$ to one side.

Add $3x$ to both sides:

$4x + 3x - 2 < 5$

This simplifies to:

$7x - 2 < 5$

Step 2: Move the constant term to the other side.

Add 2 to both sides:

$7x < 5 + 2$

Simplifying the right-hand side:

$7x < 7$

Step 3: Solve for $x$.

Divide both sides by 7:

$x < 1$

Final Solution:

The solution to the inequality is:

$x < 1$

Let me know if you'd like more details or if you have any questions!

Here are 5 related questions for further practice:

1. Solve the inequality $2x + 5 < 3x - 4$.
2. Solve the inequality $6x - 7 \geq 2x + 5$.
3. Solve $5x - 2 > 3x + 6$.
4. Solve the inequality $4x + 1 \leq 2x + 9$.
5. Solve for $x$ in $7x - 3 \geq 5x + 10$.

Tip: When solving inequalities, be cautious about reversing the inequality sign when multiplying or dividing by a negative number.