Math Problem Statement

Solve 2x - 7 = -1

Solution

Let's solve the equation:

2x7=12x - 7 = -1

Step-by-step solution:

  1. Start by isolating the term with xx on one side. Add 7 to both sides of the equation to move the constant to the other side:

2x=1+72x = -1 + 7

2x=62x = 6

  1. Now, divide both sides by 2 to solve for xx:

x=62x = \frac{6}{2}

x=3x = 3

Final answer:

The solution to the equation is:

x=3x = 3

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

  1. How do you solve equations with fractions?
  2. What happens if the equation is 2x+7=12x + 7 = -1?
  3. How do you solve equations involving decimals?
  4. What is the difference between a linear equation and a quadratic equation?
  5. How can we graph the solution of an equation like this on a number line?

Tip: Always try to isolate the variable first by moving constants to the opposite side of the equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic equation-solving principles (Ax + B = C)

Theorems

Addition Property of Equality
Division Property of Equality

Suitable Grade Level

Grades 6-8