(2x-7)-(x-5)=0

Jasonbradley

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Jun 16, 2024

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Solving the Equation: (2x - 7) - (x - 5) = 0

This article will guide you through the steps of solving the equation (2x - 7) - (x - 5) = 0.

Step 1: Distribute the Negative Sign

The first step is to distribute the negative sign outside the parentheses:

(2x - 7) - (x - 5) = 0 2x - 7 - x + 5 = 0

Step 2: Combine Like Terms

Next, combine the 'x' terms and the constant terms:

2x - x - 7 + 5 = 0 x - 2 = 0

Step 3: Isolate the Variable

To isolate 'x', add 2 to both sides of the equation:

x - 2 + 2 = 0 + 2 x = 2

Solution

Therefore, the solution to the equation (2x - 7) - (x - 5) = 0 is x = 2.

You can verify this by plugging in the value of x back into the original equation:

(2(2) - 7) - (2 - 5) = 0 (4 - 7) - (-3) = 0 -3 + 3 = 0 0 = 0

This confirms that our solution is correct.