4 Numeric 2 points Solve: \[ \frac{x+2}{x-6}=\frac{1}{2} \] 2 Type your answer... 3 Previous

Solve the equation \( \frac{x+2}{x-6}=\frac{1}{2} \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{x+2}{x-6}=\frac{1}{2}\) - step1: Find the domain: \(\frac{x+2}{x-6}=\frac{1}{2},x\neq 6\) - step2: Cross multiply: \(\left(x+2\right)\times 2=x-6\) - step3: Simplify the equation: \(2\left(x+2\right)=x-6\) - step4: Expand the expression: \(2x+4=x-6\) - step5: Move the expression to the left side: \(2x-x=-6-4\) - step6: Add and subtract: \(x=-6-4\) - step7: Add and subtract: \(x=-10\) - step8: Check if the solution is in the defined range: \(x=-10,x\neq 6\) - step9: Find the intersection: \(x=-10\) The solution to the equation \(\frac{x+2}{x-6}=\frac{1}{2}\) is \(x=-10\).