Solve the Linear Inequality: 7 + 2x < 15 Step-by-Step

To solve the inequality $7 + 2x < 15$, we start by isolating the variable $x$.

First, subtract 7 from both sides of the inequality:

$7 + 2x - 7 < 15 - 7$

Simplifying this, we get:

$2x < 8$

Next, divide both sides by 2 to solve for $x$:

$\frac{2x}{2} < \frac{8}{2}$

Thus, the solution is:

$x < 4$