Math Problem Statement

a + 5 = -5a + 5

Solution

The equation in the image is:

a+5=5a+5a + 5 = -5a + 5

Let's solve it step by step.

Step 1: Combine like terms

Subtract aa from both sides:

a+5a=5a+5aa + 5 - a = -5a + 5 - a

This simplifies to:

5=6a+55 = -6a + 5

Step 2: Isolate the variable term

Subtract 5 from both sides:

55=6a+555 - 5 = -6a + 5 - 5

This simplifies to:

0=6a0 = -6a

Step 3: Solve for aa

Divide both sides by 6-6:

a=0a = 0

Thus, the solution to the equation is a=0a = 0.

Would you like more details on any step? Here are some related questions:

  1. How do you verify the solution a=0a = 0?
  2. What are the common strategies to solve linear equations?
  3. Can a linear equation have more than one solution?
  4. How do you approach solving equations with variables on both sides?
  5. How do you graph linear equations like this?

Tip: Always check your solution by substituting it back into the original equation to ensure it's correct.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic algebraic manipulation
Combining like terms
Isolating variables

Theorems

Properties of Equality

Suitable Grade Level

Grades 6-8