Math Problem Statement

-2 = 5c + 8

Solution

Let's solve the equation:

2=5c+8-2 = 5c + 8

Step 1: Subtract 8 from both sides

To isolate the term with cc, subtract 8 from both sides:

28=5c-2 - 8 = 5c

10=5c-10 = 5c

Step 2: Divide by 5

Now, divide both sides by 5 to solve for cc:

c=105c = \frac{-10}{5}

c=2c = -2

The solution is c=2c = -2.

Would you like more details or have any other questions?

Here are 5 related questions you might want to explore:

  1. What is the general method for solving linear equations?
  2. How do you solve an equation with fractions?
  3. Can you explain what happens when dividing by a negative number?
  4. What are the steps for checking if the solution to an equation is correct?
  5. How do equations with two variables differ from single-variable ones?

Tip: Always check your solution by substituting it back into the original equation!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Standard form of linear equation: ax + b = c

Theorems

Equality Property of Equations

Suitable Grade Level

Grades 6-8