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(3-2x)-(x+4)-(2x+5)=(3x-4)-(5x+7)

less than a minute read Jun 16, 2024
(3-2x)-(x+4)-(2x+5)=(3x-4)-(5x+7)

Solving the Equation: (3-2x)-(x+4)-(2x+5)=(3x-4)-(5x+7)

This article will guide you through the process of solving the equation (3-2x)-(x+4)-(2x+5)=(3x-4)-(5x+7) step-by-step.

Simplifying Both Sides

  1. Distribute the negative signs:

    • (3 - 2x) - (x + 4) - (2x + 5) = (3x - 4) - (5x + 7)
    • 3 - 2x - x - 4 - 2x - 5 = 3x - 4 - 5x - 7

  2. Combine like terms on each side:

    • -5x - 6 = -2x - 11

Isolating the Variable

  1. Add 2x to both sides:

    • -5x + 2x - 6 = -2x + 2x - 11
    • -3x - 6 = -11

  2. Add 6 to both sides:

    • -3x - 6 + 6 = -11 + 6
    • -3x = -5

  3. Divide both sides by -3:

    • -3x / -3 = -5 / -3
    • x = 5/3

Conclusion

Therefore, the solution to the equation (3-2x)-(x+4)-(2x+5)=(3x-4)-(5x+7) is x = 5/3.

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