Math Problem Statement

4x - 11) = 10

Solution

It looks like there was a small mistake in writing the equation. The equation should be:

4x11=104x - 11 = 10

Let's solve this step by step:

  1. Add 11 to both sides to isolate the term with the variable xx:

4x11+11=10+114x - 11 + 11 = 10 + 11

4x=214x = 21

  1. Divide both sides by 4 to solve for xx:

x=214x = \frac{21}{4}

So, the solution is:

x=214 or 5.25x = \frac{21}{4} \text{ or } 5.25

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

  1. How would the solution change if the equation was 4x11=104x - 11 = -10?
  2. What happens if the equation was 4x+11=104x + 11 = 10 instead?
  3. How can you verify the solution by substituting it back into the original equation?
  4. How would you solve 4x11=2x+54x - 11 = 2x + 5?
  5. What if the equation was 4x11=10x54x - 11 = 10x - 5?

Tip: Always check your final answer by substituting it back into the original equation to ensure it satisfies the equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation: ax + b = c

Theorems

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Suitable Grade Level

Grades 6-8