• Math

  Algebra

  Posted by Chel Zy on August 20, 2024 at 5:01 pm

  Solve for x: 2x – 3 = 7

  Mawar Tanjung replied 8 months ago 2 Members · 1 Reply
• 1 Reply

• 

  Mawar Tanjung

  Member

  August 21, 2024 at 11:30 am

  To solve for <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mi>x</mi></mrow><annotation encoding=”application/x-tex”>x</annotation></semantics></math>x in the equation <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>2</mn><mi>x</mi><mo>−</mo><mn>3</mn><mo>=</mo><mn>7</mn></mrow><annotation encoding=”application/x-tex”>2x – 3 = 7</annotation></semantics></math>2x−3=7, follow these steps:

  1. Add 3 to both sides to isolate the term with <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mi>x</mi></mrow><annotation encoding=”application/x-tex”>x</annotation></semantics></math>x:

     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>2</mn><mi>x</mi><mo>−</mo><mn>3</mn><mo>+</mo><mn>3</mn><mo>=</mo><mn>7</mn><mo>+</mo><mn>3</mn></mrow><annotation encoding=”application/x-tex”>2x – 3 + 3 = 7 + 3</annotation></semantics></math>2x−3+3=7+3
     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>2</mn><mi>x</mi><mo>=</mo><mn>10</mn></mrow><annotation encoding=”application/x-tex”>2x = 10</annotation></semantics></math>2x=10

  2. Divide both sides by 2 to solve for <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mi>x</mi></mrow><annotation encoding=”application/x-tex”>x</annotation></semantics></math>x:

     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mfrac><mrow><mn>2</mn><mi>x</mi></mrow><mn>2</mn></mfrac><mo>=</mo><mfrac><mn>10</mn><mn>2</mn></mfrac></mrow><annotation encoding=”application/x-tex”>\frac{2x}{2} = \frac{10}{2}</annotation></semantics></math>22x​=210​
     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mi>x</mi><mo>=</mo><mn>5</mn></mrow><annotation encoding=”application/x-tex”>x = 5</annotation></semantics></math>x=5

  So, the solution is <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mi>x</mi><mo>=</mo><mn>5</mn></mrow><annotation encoding=”application/x-tex”>x = 5</annotation></semantics></math>x=5.

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