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(2x-3)+(5x-6)=180

less than a minute read Jun 16, 2024
(2x-3)+(5x-6)=180

Solving the Equation: (2x-3) + (5x-6) = 180

This article will walk you through the steps of solving the equation (2x-3) + (5x-6) = 180. Let's break it down step by step:

Step 1: Combine Like Terms

The first step is to combine the 'x' terms and the constant terms on the left side of the equation:

  • 2x + 5x = 7x
  • -3 - 6 = -9

Now our equation looks like this: 7x - 9 = 180

Step 2: Isolate the Variable Term

To get the 'x' term by itself, we need to add 9 to both sides of the equation:

  • 7x - 9 + 9 = 180 + 9
  • 7x = 189

Step 3: Solve for x

Finally, we divide both sides of the equation by 7 to find the value of 'x':

  • 7x / 7 = 189 / 7
  • x = 27

Conclusion

Therefore, the solution to the equation (2x-3) + (5x-6) = 180 is x = 27.

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