Math Problem Statement

x/4+5=-8

Solution

To solve the equation x4+5=8\frac{x}{4} + 5 = -8:

Step 1: Isolate x4\frac{x}{4}

Subtract 5 from both sides of the equation: x4=85\frac{x}{4} = -8 - 5 x4=13\frac{x}{4} = -13

Step 2: Solve for xx

Multiply both sides of the equation by 4 to cancel out the denominator: x=13×4x = -13 \times 4 x=52x = -52

Final Answer:

x=52x = -52

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

  1. How do you solve equations with fractions and multiple terms?
  2. How do you check if your solution to an equation is correct?
  3. What is the method to solve equations involving variables on both sides?
  4. Can you explain how to solve equations with exponents?
  5. How do you solve inequalities that involve fractions?

Tip: Always double-check your answer by substituting it back into the original equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Fractions

Formulas

x/4 + 5 = -8
Isolating variable: Subtraction and multiplication

Theorems

Basic operations for solving linear equations

Suitable Grade Level

Grades 6-8