Math Problem Statement

3x+x-7=1

Solution

Let's solve the equation step by step:

The given equation is: 3x+x7=13x + x - 7 = 1

  1. Combine the like terms on the left-hand side: (3x+x)7=1    4x7=1(3x + x) - 7 = 1 \implies 4x - 7 = 1

  2. Add 7 to both sides to isolate the term with xx: 4x7+7=1+7    4x=84x - 7 + 7 = 1 + 7 \implies 4x = 8

  3. Divide both sides by 4 to solve for xx: x=84    x=2x = \frac{8}{4} \implies x = 2

So, the solution is: x=2x = 2

Would you like more details on any of the steps or have additional questions?

Here are 5 related questions for you to explore:

  1. What happens if the equation is 3x+x7=03x + x - 7 = 0?
  2. How would you solve 5x+2x4=105x + 2x - 4 = 10?
  3. Can you solve 4x7=14x - 7 = -1?
  4. How do you solve 3x+2x9=4x23x + 2x - 9 = 4x - 2?
  5. What if the equation was 2x+3=3x12x + 3 = 3x - 1?

Tip: Always combine like terms first to simplify equations before solving.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation: ax + b = c

Theorems

Basic principles of solving linear equations
Combining like terms

Suitable Grade Level

Grades 6-8