18. \( 3 x+2=5 x+6 \)

To solve the equation \( 3x + 2 = 5x + 6 \), start by isolating the variable \( x \). Subtract \( 3x \) from both sides to get \( 2 = 2x + 6 \). Next, subtract \( 6 \) from both sides, resulting in \( -4 = 2x \). Finally, divide by \( 2 \) to find \( x = -2 \). Voila! You’ve found the solution. Now, here's a fun fact: equations like this have been used for centuries to represent relationships in fields ranging from engineering to finance! Using algebra to solve real-life issues is like unlocking a treasure chest of knowledge, where each variable is a unique gem waiting to reveal its secrets. Keep exploring!