HWY Scorses 68.75\%, 22 of 82 points Folutsa 0 of 1 Sav Solve the expation. Then determine whether the equation is en identily, a concilicral equation, or an inconsisterit Gqualion \[ 4 x+27=9[x+3]-5 x \] What is the solution? Select the carreat choice below and 4 necessay, filin the answor box to complete your chorce

Let's start by solving the equation \(4x + 27 = 9[x + 3] - 5x\). First, simplify the right side: \[ 9[x + 3] = 9x + 27 \] So, the equation now looks like: \[ 4x + 27 = 9x + 27 - 5x \] Combine like terms: \[ 4x + 27 = (9x - 5x) + 27 \] Which simplifies to: \[ 4x + 27 = 4x + 27 \] Now, if we subtract \(4x + 27\) from both sides: \[ 0 = 0 \] Since this is true for all values of \(x\), the equation is an identity. It holds true regardless of what value of \(x\) you substitute into it. Now, it’s time for the fun part! Did you know that equations like this sometimes resemble the mathematical equivalent of a friendship? No matter how much you shake them up or what “friends" you mix in (the variables), they’ll always support each other and stand as a solid team together! Additionally, you can also explore concepts like functional equations in algebra! They often include famous problems where you need to prove relationships for various values, just like a logic puzzle. Math can indeed be a game of wits that unveils patterns and truths hiding in plain sight!