Math Problem Statement

(8-2x)-4=6

Solution

To solve the equation (82x)4=6(8 - 2x) - 4 = 6, follow these steps:

  1. Simplify the equation: Distribute any constants and combine like terms.

    82x4=68 - 2x - 4 = 6

    Simplify further:

    42x=64 - 2x = 6

  2. Isolate the variable: To isolate the term with xx, subtract 4 from both sides of the equation:

    2x=64-2x = 6 - 4

    Simplify:

    2x=2-2x = 2

  3. Solve for xx: Divide both sides of the equation by -2:

    x=22x = \frac{2}{-2}

    Simplify:

    x=1x = -1

So, the solution is x=1x = -1.

Would you like more details on any of these steps, or do you have any further questions?

Related Questions:

  1. What if the equation had a different constant on the right side?
  2. How would the steps change if the coefficient of xx was positive instead of negative?
  3. How do you check if the solution x=1x = -1 is correct?
  4. What happens if you have an equation with more variables?
  5. How can you solve similar equations graphically?

Tip:

Always double-check your solution by substituting the value of xx back into the original equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation formula ax + b = c

Theorems

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Suitable Grade Level

Grades 6-8