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(2x-7)+(4x+3)=112

2 min read Jun 16, 2024
(2x-7)+(4x+3)=112

Solving the Equation: (2x-7) + (4x+3) = 112

This article will guide you through the steps of solving the algebraic equation (2x-7) + (4x+3) = 112.

1. Combine Like Terms

First, we need to simplify the equation by combining the x terms and the constant terms.

  • x terms: 2x + 4x = 6x
  • Constant terms: -7 + 3 = -4

The simplified equation now becomes: 6x - 4 = 112

2. Isolate the x Term

To isolate the x term, we need to move the constant term (-4) to the right side of the equation. We can achieve this by adding 4 to both sides:

  • 6x - 4 + 4 = 112 + 4
  • 6x = 116

3. Solve for x

Finally, to solve for x, we divide both sides of the equation by 6:

  • 6x / 6 = 116 / 6
  • x = 19.33 (rounded to two decimal places)

Conclusion

Therefore, the solution to the equation (2x-7) + (4x+3) = 112 is x = 19.33.

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