Ciseshere factarise fully 1. \( 6 x+14=x+8 \)

To solve \( 6x + 14 = x + 8 \), first, we want to get all the terms involving \( x \) on one side. Subtract \( x \) from both sides: \( 6x - x + 14 = 8 \) simplifies to \( 5x + 14 = 8 \). Next, subtract 14 from both sides: \( 5x = 8 - 14 \), which gives us \( 5x = -6 \). Now, divide both sides by 5 to isolate \( x \): \( x = -\frac{6}{5} \). So, the solution fully factorized leads us to \( x = -1.2 \) or as a fraction \( x = -\frac{6}{5} \). Want a fun twist? This is basically a real-life math detective story! You gathered clues (the variables and numbers), analyzed the evidence (the equations), and finally snapped the mystery shut with the solution. No need for capes, just some algebraic savvy! Ever had a math party? These types of equations crop up in unexpected places, like when you're budgeting your finances! Understanding how to rearrange and solve them can help you figure out how much you’ll have left if you spend on that new gadget after saving. Plus, you might find & resolve that pesky budget discrepancy like a pro!