Math Problem Statement

Solution

The equation shown in the image is:

4x+8=x14x + 8 = x - 1

Let's solve this linear equation for xx.

First, we want to get all terms involving xx on one side of the equation and the constant terms on the other side. We'll subtract xx from both sides:

4x+8x=x1x4x + 8 - x = x - 1 - x 3x+8=13x + 8 = -1

Next, subtract 8 from both sides to isolate the term with xx:

3x+88=183x + 8 - 8 = -1 - 8 3x=93x = -9

Now, divide both sides by 3 to solve for xx:

x=93x = \frac{-9}{3} x=3x = -3

So, the solution to the equation 4x+8=x14x + 8 = x - 1 is:

x=3x = -3

Would you like any further details or have any questions? Here are some additional questions you might consider:

  1. How do you solve equations with variables on both sides?
  2. Can you explain how to solve an equation with fractions?
  3. What are the steps to solve a system of linear equations using substitution?
  4. Can you solve the equation 2x3=5x+72x - 3 = 5x + 7?
  5. How do you check if your solution to an equation is correct?

Tip: When solving linear equations, always aim to isolate the variable by performing the same operation on both sides of the equation to maintain equality.

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Math Problem Analysis

Mathematical Concepts

Linear Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9