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A Linear Equation In One Variable Is An Equation That Can Be Expressed In The Form Ax + B = 0, Where 'A' And 'B' Are Constants, And 'X' Is The Variable. For Example, 3X - 5 = 0 Is A Linear Equation In One Variable. |
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The General Form Of A Linear Equation In One Variable Is Ax + B = 0, Where A ≠ 0. For Example, In The Equation 2X + 4 = 0, A = 2 And B = 4. |
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First, Expand The Left Side: 2X - 8 = 10. Then Add 8 To Both Sides: 2X = 18. Finally, Divide By 2: X = 9. |
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Subtract 3X From Both Sides: 4X + 5 = 17. Then, Subtract 5 From Both Sides: 4X = 12. Finally, Divide By 4: X = 3. |
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Distribute On The Left Side: 2X + 6 - X = 8. Combine Like Terms: X + 6 = 8. Subtract 6 From Both Sides: X = 2. |
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Solve for x: -3x + 9 = 0. Hint: Isolate x by moving constants to the other side. |
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Expand The Left Side: 5X - 5 = 2X + 10. Subtract 2X From Both Sides: 3X - 5 = 10. Add 5 To Both Sides: 3X = 15. Divide By 3: X = 5. |
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Expand Both Sides: 2X - 8 = 3X + 3 - 2. Simplify: 2X - 8 = 3X + 1. Subtract 2X From Both Sides: -8 = X + 1. Subtract 1 From Both Sides: X = -9. |
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A Useful Strategy Is To Isolate The Variable On One Side Of The Equation By Performing Inverse Operations, Such As Addition And Subtraction, Followed By Multiplication And Division, To Simplify The Equation Step By Step. |