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(x-3)-(x-5)+2x=0

2 min read Jun 17, 2024
(x-3)-(x-5)+2x=0

Solving the Equation: (x-3) - (x-5) + 2x = 0

This article will guide you through the steps of solving the equation (x-3) - (x-5) + 2x = 0.

1. Simplifying the Equation

First, we need to simplify the equation by removing the parentheses and combining like terms:

  • Distribute the negative sign: -(x-5) becomes -x + 5
  • Combine like terms: x - x + 2x = 3x
  • Combine constants: -3 + 5 = 2

The simplified equation is now: 3x + 2 = 0

2. Isolate the Variable

To isolate the variable 'x', we need to get rid of the constant term (2). This can be achieved by subtracting 2 from both sides of the equation:

  • Subtract 2 from both sides: 3x + 2 - 2 = 0 - 2
  • Simplify: 3x = -2

3. Solve for x

Finally, to solve for x, we need to divide both sides of the equation by 3:

  • Divide both sides by 3: (3x) / 3 = -2 / 3
  • Simplify: x = -2/3

Solution

Therefore, the solution to the equation (x-3) - (x-5) + 2x = 0 is x = -2/3.

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