Solve the Linear Equation: Finding X in 5x = 3

To solve the equation $5x = 3$, we will isolate $x$ by using division:

• Step 1: Recognize that $x$ is multiplied by 5. To isolate $x$, we need to undo this multiplication.
• Step 2: Divide both sides of the equation by 5. This step uses the Division Property of Equality:

$\frac{5x}{5} = \frac{3}{5}$

Step 3: Simplify both sides. The left side simplifies to $x$ (because $\frac{5x}{5} = x$), and the right side is $\frac{3}{5}$.

Hence, the solution to the equation $5x = 3$ is $x = \frac{3}{5}$.