(x+6)-(5-2x)+2=0

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x+6)-(5-2x)+2=0

This article will guide you through the steps of solving the equation (x+6)-(5-2x)+2=0. Let's break down the process:

1. Simplifying the Equation

The first step is to simplify the equation by removing the parentheses and combining like terms:

• Distribute the negative sign: (x + 6) - (5 - 2x) + 2 = 0 x + 6 - 5 + 2x + 2 = 0

• Combine like terms: (x + 2x) + (6 - 5 + 2) = 0 3x + 3 = 0

2. Isolating the Variable

Now, we need to isolate the variable x on one side of the equation.

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

3. Solving for x

Finally, we solve for x by dividing both sides of the equation by 3.

• Divide both sides by 3: 3x / 3 = -3 / 3 x = -1

Solution

Therefore, the solution to the equation (x+6)-(5-2x)+2=0 is x = -1.

Verification

We can verify our solution by plugging x = -1 back into the original equation:

• (-1 + 6) - (5 - 2 * -1) + 2 = 0
• (5) - (5 + 2) + 2 = 0
• 5 - 7 + 2 = 0
• 0 = 0

Since both sides of the equation are equal, our solution x = -1 is correct.