(x+9)+(x-8)+(x+7)+(x-6)+(x+5)+(x-4)=63 6

Jasonbradley

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Jun 17, 2024

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Solving the Equation: (x+9)+(x-8)+(x-7)+(x-6)+(x+5)+(x-4)=63

This problem requires us to solve for the value of 'x' in the given equation. Let's break down the steps:

1. Simplify the equation:

• Combine the like terms (the 'x' terms and the constant terms): (x + x + x + x + x + x) + (9 - 8 + 7 - 6 + 5 - 4) = 63
• This simplifies to: 6x + 3 = 63

2. Isolate the 'x' term:

• Subtract 3 from both sides of the equation: 6x + 3 - 3 = 63 - 3
• This leaves us with: 6x = 60

3. Solve for 'x':

• Divide both sides of the equation by 6: 6x / 6 = 60 / 6
• This gives us: x = 10

Therefore, the solution to the equation (x+9)+(x-8)+(x-7)+(x-6)+(x+5)+(x-4)=63 is x = 10.