Math Problem Statement

(4x - 11) = 10

Solution

To solve the equation (4x11)=10(4x - 11) = 10, follow these steps:

  1. Add 11 to both sides to eliminate the constant term on the left side: 4x11+11=10+114x - 11 + 11 = 10 + 11 4x=214x = 21

  2. Divide both sides by 4 to solve for xx: x=214x = \frac{21}{4} x=5.25x = 5.25

So, the solution is x=5.25x = 5.25.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

  1. How would you solve 3x5=163x - 5 = 16?
  2. What is the solution to 2x+7=152x + 7 = 15?
  3. How do you solve 5x9=2x+65x - 9 = 2x + 6?
  4. What happens when you solve 4x11=104x - 11 = -10?
  5. How do you solve for xx in 4x112=5\frac{4x - 11}{2} = 5?

Tip: When solving linear equations, always perform the same operation on both sides to keep the equation balanced.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation formula ax + b = c

Theorems

Properties of Equality

Suitable Grade Level

Grades 6-8