Math Problem Statement

2x - 10 = -8; Solve for x.

Solution

The equation given is:

2x10=82x - 10 = -8

To solve for xx, follow these steps:

  1. Add 10 to both sides to eliminate the constant on the left side: 2x10+10=8+102x - 10 + 10 = -8 + 10 This simplifies to: 2x=22x = 2

  2. Divide both sides by 2 to isolate xx: 2x2=22\frac{2x}{2} = \frac{2}{2} Simplifying further gives: x=1x = 1

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

Would you like more details, or do you have any questions about this solution?

Here are 5 related questions to explore:

  1. What is the solution to the equation 3x9=03x - 9 = 0?
  2. How do you solve the equation 4x+5=214x + 5 = 21 for xx?
  3. What steps would you take to solve the equation 5x15=105x - 15 = 10?
  4. How can you verify the solution to 2x10=82x - 10 = -8 by substituting back into the original equation?
  5. What happens to the solution if the equation was 2x10=122x - 10 = -12?

Tip: Always check your solution 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

ax + b = c

Theorems

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Suitable Grade Level

Grade 6-8