Questions: Solve the equation. 4(x+6) = 3(x-8) + x

△ Solve the equation \(4(x+6)=3(x-8)+x\). ○ Expand both sides ▷ Expand the expressions on both sides of the equation. ☼ The left side becomes \(4x + 24\) and the right side becomes \(4x - 24\). ○ Simplify equation ▷ Simplify the equation by comparing both sides. ☼ The equation simplifies to \(4x + 24 = 4x - 24\). ○ Analyze result ▷ Determine the implications of the simplified equation. ☼ Subtracting \(4x\) from both sides results in \(24 = -24\), which is a contradiction. ✧ The equation has no solution. ☺ The equation 4(x+6)=3(x-8)+x has no solution.