\( 1 \leftarrow \begin{array}{l}\text { Solve. Check your solution. } \\ 27-2 x=4 x-3\end{array} \)

To solve the equation \( 27 - 2x = 4x - 3 \), start by collecting all the terms involving \( x \) on one side and the constants on the other. Add \( 2x \) to both sides: \[ 27 = 6x - 3 \] Next, add \( 3 \) to both sides: \[ 30 = 6x \] Now, divide both sides by \( 6 \): \[ x = 5 \] To check your solution, substitute \( x = 5 \) back into the original equation: \[ 27 - 2(5) = 4(5) - 3 \] This simplifies to: \[ 27 - 10 = 20 - 3 \] \[ 17 = 17 \] Both sides are equal, so \( x = 5 \) is indeed the correct solution! As a tip, always remember to isolate your variables step-by-step, and double-check your work by plugging your solution back into the original equation—it's like giving your math a final stamp of approval! And beware of mistakes like overlooking negative signs; they can sneak up on you!