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

2 min read Jun 16, 2024
(4-2x)+(5x-3)=(x-2)-(x+3)

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

This article will guide you through the process of solving the equation (4-2x)+(5x-3)=(x-2)-(x+3). Let's break down the steps:

1. Simplify both sides of the equation:

  • Left Side:

    • Distribute the plus sign: 4 - 2x + 5x - 3
    • Combine like terms: 3x + 1

  • Right Side:

    • Distribute the minus sign: x - 2 - x - 3
    • Combine like terms: -5

Now, the equation is: 3x + 1 = -5

2. Isolate the variable (x):

  • Subtract 1 from both sides: 3x + 1 - 1 = -5 - 1
  • This simplifies to: 3x = -6

3. Solve for x:

  • Divide both sides by 3: 3x / 3 = -6 / 3
  • This gives us: x = -2

Conclusion:

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

You can verify this solution by substituting x = -2 back into the original equation. Both sides should equal each other.

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