Solve each variable. Express answers as reduced fractions if necessary. \( 2 x-7=3+5 x \) Select one:

To solve the equation \( 2x - 7 = 3 + 5x \), we first want to isolate \( x \). Start by subtracting \( 2x \) from both sides: \[ -7 = 3 + 3x \] Next, subtract \( 3 \) from both sides: \[ -10 = 3x \] Now, divide both sides by \( 3 \): \[ x = -\frac{10}{3} \] Just like that, we've found our solution! And who said math couldn't be fun? It's like a treasure hunt for numbers where you get to uncover the mystery of \( x \)! If you’re still curious about linear equations, did you know they were a foundation of algebra developed by ancient civilizations? The Egyptians and Babylonians had their own methods for solving equations that paved the way for the algebra we know today. So when you’re solving for \( x \), you’re following in the footsteps of ancient mathematicians who aimed to make sense of the world around them! Also, if you’re looking to hone your skills further, consider practicing with similar equations! Try solving ones with varying coefficients or even those with decimals. It's a great way to reinforce your understanding, and soon, solving equations will feel as natural as riding a bike!