Solve. \( 7 x-12=3 x \)

To solve the equation \( 7x - 12 = 3x \), first, let's get all the \( x \) terms on one side. Subtract \( 3x \) from both sides: \[ 7x - 3x - 12 = 0 \] This simplifies to: \[ 4x - 12 = 0 \] Now, add \( 12 \) to both sides: \[ 4x = 12 \] Finally, divide by \( 4 \): \[ x = 3 \] So, the solution is \( x = 3 \). Isn’t it fun how simple algebra can turn into a little puzzle? Just remember to balance both sides of the equation like a scale—equal on both sides brings you closer to the solution! Now, if you run into similar equations in the future, it’s easy to make a common mistake by forgetting to distribute or combine like terms correctly. Always double-check your work by plugging your solution back into the original equation to see if it holds true. Happy solving!