Math Problem Statement

2-3(4x-4)=3x

Solution

To solve the equation 23(4x4)=3x2 - 3(4x - 4) = 3x, follow these steps:

  1. Distribute 3-3 across (4x4)(4x - 4): 212x+12=3x2 - 12x + 12 = 3x

  2. Combine like terms: 1412x=3x14 - 12x = 3x

  3. Add 12x12x to both sides: 14=15x14 = 15x

  4. Divide both sides by 1515: x=1415x = \frac{14}{15}

Thus, the solution is: x=1415x = \frac{14}{15}

Would you like more details or have any questions? Here are some related questions to consider:

  1. What is the significance of distributing terms in an equation?
  2. How would you check if the solution is correct?
  3. Can this equation be solved using a graph?
  4. What are other methods to solve linear equations?
  5. How does the solution change if the equation is modified slightly?

Tip: Always combine like terms before isolating the variable for clarity in your calculations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Distributive Property
Solving Linear Equations

Theorems

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Suitable Grade Level

Grades 7-9