\( \frac { 2 x + 6 y } { 3 } = b \quad ( x = ? ) \)

To solve for \( x \), you can start by isolating \( x \) in the equation. First, multiply both sides by 3 to eliminate the fraction: \[ 2x + 6y = 3b \] Next, subtract \( 6y \) from both sides: \[ 2x = 3b - 6y \] Finally, divide by 2: \[ x = \frac{3b - 6y}{2} \] And voilà! You've got your expression for \( x \) in terms of \( b \) and \( y \). Now, let’s get practical—think of this equation like a recipe! Just as you can mix ingredients to form delicious dishes, you can manipulate equations to find unknown variables. Whenever you're working with algebra, remember to keep operations balanced, like a seesaw. If one side goes up, the other must too—this way, you can solve confidently!