Let's solve the equation \(x + 14 + x = x - 19\).

1. First, combine the like terms on the left side of the equation:

\[ x + 14 + x = x - 19 \]
\[ 2x + 14 = x - 19 \]

2. Next, subtract \(x\) from both sides to isolate the variable term on one side:

\[ 2x - x + 14 = x - x - 19 \]
\[ x + 14 = -19 \]

3. Then, subtract 14 from both sides to solve for \(x\):

\[ x + 14 - 14 = -19 - 14 \]
\[ x = -33 \]

So, the solution to the equation \(x + 14 + x = x - 19\) is \(x = -33\).

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. How can we verify the solution to \(x + 14 + x = x - 19\)?
2. What are the steps to solve linear equations with variables on both sides?
3. Can you solve \(3x - 7 = 2x + 5\) and explain the steps?
4. How do you solve equations with fractions, like \(\frac{x}{2} + 3 = \frac{5x}{4} - 1\)?
5. What is the process to solve equations with parentheses, like \(2(x + 5) = 3(x - 2)\)?
6. How can we solve systems of linear equations, such as \(2x + 3y = 6\) and \(4x - y = 5\)?
7. What methods are there to solve quadratic equations, like \(x^2 - 5x + 6 = 0\)?
8. How can you use the substitution method to solve \(3x + 2y = 12\) and \(x - y = 3\)?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the equation x + 14 + x = x - 19 with a detailed step-by-step solution. Understand the process of combining like terms, isolating variables, and solving linear equations. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation