https://file.aiquickdraw.com/mathbot/file/1726673740362w9kabcme.jpg

Let's solve each of these equations step by step.

**a) \( x + 5 = 2 \):**
\[
x = 2 - 5 = -3
\]
Solution: \( x = -3 \).

**b) \( x + 54 = -33 \):**
\[
x = -33 - 54 = -87
\]
Solution: \( x = -87 \).

**c) \( -74 + x = 14 \):**
\[
x = 14 + 74 = 88
\]
Solution: \( x = 88 \).

**d) \( 58 + x = 96 \):**
\[
x = 96 - 58 = 38
\]
Solution: \( x = 38 \).

**e) \( 27 = x + 46 \):**
\[
x = 27 - 46 = -19
\]
Solution: \( x = -19 \).

**f) \( -43 = 19 + x \):**
\[
x = -43 - 19 = -62
\]
Solution: \( x = -62 \).

---

Would you like any additional details or have any questions?

Here are five related questions to explore further:

1. What would the solutions be if we changed the constants on the right-hand side of the equations?
2. How do these types of equations relate to linear functions on a graph?
3. What is the process for solving equations with variables on both sides?
4. How can we verify the solutions to each equation?
5. What is the impact of changing the signs in these equations on the solutions?

**Tip:** Always check your solution by substituting it back into the original equation to ensure both sides are equal.

Solve the following equations:
 a) x + 5 = 2
 b) x + 54 = -33
 c) -74 + x = 14
 d) 58 + x = 96
 e) 27 = x + 46
 f) -43 = 19 + x

Learn how to solve basic linear equations such as x + 5 = 2 and x + 54 = -33. This guide provides step-by-step solutions, covering algebraic concepts and basic equation solving techniques. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation