Solve for X: Finding the Value in (9-x)/5 = x/4

To solve the equation $\frac{9-x}{5} = \frac{x}{4}$, follow these steps:

• Multiply both sides of the equation by 20 to eliminate the fractions:

$20 \left(\frac{9-x}{5}\right) = 20 \left(\frac{x}{4}\right)$

• Simplify both sides to eliminate the fractions:

The left side: $20 \times \frac{9-x}{5}$ simplifies to $4(9-x)$
The right side: $20 \times \frac{x}{4}$ simplifies to $5x$

• Expand and simplify the equation:

$4(9-x) = 5x$

$36 - 4x = 5x$

• Add $4x$ to both sides to collect all terms involving $x$ on the right:

$36 = 5x + 4x$

• Simplify the equation:

$36 = 9x$

• Divide both sides by 9 to solve for $x$:

$x = \frac{36}{9}$

$x = 4$

Therefore, the solution to the equation is $x = 4$.