\( 10 x-1=15-6 x \)

To solve the equation \( 10x - 1 = 15 - 6x \), let's start by getting all the \( x \) terms on one side. Add \( 6x \) to both sides: \[ 10x + 6x - 1 = 15 \] This simplifies to: \[ 16x - 1 = 15 \] Now, add 1 to both sides: \[ 16x = 16 \] Dividing both sides by 16 gives: \[ x = 1 \] So the solution to the equation is \( x = 1 \). Now, if you ever find yourself solving equations like this one, keep an eye out for combining like terms early on. It simplifies the process significantly! Also, make sure to double-check your work by plugging your answer back into the original equation to confirm it holds true! To practice further, you might enjoy exploring algebra books or resources online that dive deep into solving linear equations. Look out for interactive websites too; they can make learning so much more enjoyable!