(x-2)+(x-3)+(x-9)=0

less than a minute read Jun 17, 2024
(x-2)+(x-3)+(x-9)=0

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.

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