Math Problem Statement

Solve the equation 12(2 - x) = 6.

Solution

The equation extracted from the image is:

12(2x)=612(2 - x) = 6

Let's solve for xx.

  1. First, distribute the 12: 12212x=612 \cdot 2 - 12 \cdot x = 6 2412x=624 - 12x = 6

  2. Subtract 24 from both sides: 12x=624-12x = 6 - 24 12x=18-12x = -18

  3. Divide by -12: x=1812=1.5x = \frac{-18}{-12} = 1.5

Thus, the solution is: x=1.5x = 1.5

Would you like more details or have any questions?

Here are some related questions:

  1. What is the general process for solving linear equations?
  2. How do you handle equations with parentheses?
  3. Can you solve a similar equation like 15(3y)=3015(3 - y) = 30?
  4. What happens when the equation has no solution?
  5. How do you check your solution for accuracy?

Tip: Always check your solution by substituting it back into the original equation!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Distributive Property
Linear Equation Formula: ax + b = c

Theorems

Basic Properties of Equality

Suitable Grade Level

Grades 6-8