Math Problem Statement

x/4+2=-3

Solution

To solve the equation:

x4+2=3\frac{x}{4} + 2 = -3

Step-by-Step Solution:

  1. Subtract 2 from both sides to isolate the term with xx: x4+22=32\frac{x}{4} + 2 - 2 = -3 - 2 x4=5\frac{x}{4} = -5

  2. Multiply both sides by 4 to solve for xx: x=5×4x = -5 \times 4 x=20x = -20

Final Answer:

x=20x = -20

Would you like more details or have any questions?


Here are 5 related questions to further explore the concept:

  1. What happens if the constant on the right side was a positive number instead?
  2. Can you solve x5+3=0\frac{x}{5} + 3 = 0?
  3. How do you solve x64=2\frac{x}{6} - 4 = 2?
  4. What are the steps to solve 2x+5=152x + 5 = 15?
  5. How would you solve a similar equation with a variable on both sides, like x4+2=x2+1\frac{x}{4} + 2 = \frac{x}{2} + 1?

Tip: Always perform the same operation on both sides of an equation to maintain equality.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation solving

Theorems

Equality property of equations

Suitable Grade Level

Grades 6-8