Solving the Equation: (x-2)+(x-3)+(x-9) = 0
This article will guide you through solving the linear equation (x-2)+(x-3)+(x-9) = 0.
Step 1: Simplify the Equation
Begin by combining like terms on the left side of the equation:
(x - 2) + (x - 3) + (x - 9) = 0
3x - 14 = 0
Step 2: Isolate the Variable
To isolate 'x', we need to move the constant term (-14) to the right side of the equation. We achieve this by adding 14 to both sides:
3x - 14 + 14 = 0 + 14
3x = 14
Step 3: Solve for 'x'
Finally, we divide both sides of the equation by 3 to solve for 'x':
(3x)/3 = 14/3
x = 14/3
Conclusion
Therefore, the solution to the equation (x-2)+(x-3)+(x-9) = 0 is x = 14/3.