Solve the Fraction Equation: Find X in (x+2)/3 = 4/5

To solve the equation $\frac{x+2}{3}=\frac{4}{5}$, we can follow the method of cross-multiplication:

• Step 1: Cross-multiply to eliminate the fractions, giving us:

$(x + 2) \cdot 5 = 4 \cdot 3$

• Step 2: Simplify both sides of the equation:

$5(x + 2) = 12$

• Step 3: Distribute the 5 on the left side:

$5x + 10 = 12$

• Step 4: Subtract 10 from both sides to isolate the term with $x$:

$5x = 2$

• Step 5: Divide both sides by 5 to solve for $x$:

$x = \frac{2}{5}$

Therefore, the solution to the equation is $\frac{2}{5}$.