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In the expression 3x + 5 = 2x + 10, what is the value of x?

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Question: In the expression 3x + 5 = 2x + 10, what is the value of x?

Options:

  1. 5
  2. 10
  3. 15
  4. 20

Correct Answer: 5

Solution: 

To solve for x, subtract 2x from both sides: 3x - 2x = 10 - 5, which simplifies to x = 5.

In the expression 3x + 5 = 2x + 10, what is the value of x?

Practice Questions

Q1
In the expression 3x + 5 = 2x + 10, what is the value of x?
  1. 5
  2. 10
  3. 15
  4. 20

Questions & Step-by-Step Solutions

In the expression 3x + 5 = 2x + 10, what is the value of x?
  • Step 1: Start with the equation 3x + 5 = 2x + 10.
  • Step 2: To get all the x terms on one side, subtract 2x from both sides. This gives you 3x - 2x + 5 = 10.
  • Step 3: Simplify the left side. 3x - 2x is equal to 1x, so now you have x + 5 = 10.
  • Step 4: Next, subtract 5 from both sides to isolate x. This gives you x = 10 - 5.
  • Step 5: Simplify the right side. 10 - 5 equals 5, so x = 5.
  • Algebraic Manipulation – The ability to rearrange and simplify equations to isolate the variable.
  • Linear Equations – Understanding the properties of linear equations and how to solve for unknowns.
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