Solve for x : \( 114-6 x=48 \)

To solve for \( x \) in the equation \( 114 - 6x = 48 \), start by isolating the term containing \( x \). Subtract \( 114 \) from both sides: \( -6x = 48 - 114 \) This simplifies to: \( -6x = -66 \) Now, divide both sides by \( -6 \): \( x = \frac{-66}{-6} = 11 \) So the solution is \( x = 11 \). Isn’t it fun how mathematics, when approached step-by-step, reveals its secrets? Working through equations like this can feel like solving a mystery! Next time you encounter a linear equation, just remember to isolate the variable and carefully perform your operations on both sides. Common mistakes include forgetting to flip the signs when multiplying or dividing by a negative number—so keep an eye out for that!