(2x-3)-(x-5)=(x+2)-(x-1)

Jasonbradley

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Jun 16, 2024

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Solving the Equation: (2x-3)-(x-5)=(x+2)-(x-1)

This article will guide you through solving the linear equation (2x-3)-(x-5)=(x+2)-(x-1).

Step 1: Simplify both sides of the equation

To simplify, we need to distribute the negative signs:

• Left side: (2x - 3) - (x - 5) = 2x - 3 - x + 5
• Right side: (x + 2) - (x - 1) = x + 2 - x + 1

Combining like terms on both sides gives us:

• Left side: x + 2
• Right side: 3

Step 2: Combine like terms

Now the equation looks like this: x + 2 = 3

Step 3: Isolate x

To isolate x, subtract 2 from both sides of the equation:

x + 2 - 2 = 3 - 2

This simplifies to: x = 1

Solution

Therefore, the solution to the equation (2x-3)-(x-5)=(x+2)-(x-1) is x = 1.

This solution can be verified by plugging x = 1 back into the original equation and ensuring both sides are equal.