Score: \( 1 / 3 \quad \) Penalty: none Question Watch Video Show Exam Solve for \( x \) : \[ 11 x+2=8 x+26 \] Answer Alleung 1 oun of 2

To solve for \( x \) in the equation \( 11x + 2 = 8x + 26 \), first, let's isolate \( x \). Start by subtracting \( 8x \) from both sides: \[ 11x - 8x + 2 = 26 \] This simplifies to: \[ 3x + 2 = 26 \] Next, subtract 2 from both sides: \[ 3x = 24 \] Finally, divide by 3 to solve for \( x \): \[ x = 8 \] So the solution is \( x = 8 \). In math history, the development of algebra can be traced back to ancient Babylon around 2000 BC, where early mathematicians used geometric methods to solve linear equations. The term "algebra" itself comes from the Arabic word "al-jabr," meaning "reunion of broken parts," which reflects the process of solving equations. In real-world applications, understanding how to solve for variables in equations like this is crucial for various professions, including engineering, economics, and physics. For instance, engineers use algebra to model and solve problems related to structures, forces, and materials, ensuring safety and efficiency in their designs.