Math Problem Statement

Solve for xx: minus, 2, x, plus, 1, equals, minus, x, plus, 7 −2x+1= −x+7

Solution

We are given the equation:

2x+1=x+7-2x + 1 = -x + 7

Step 1: Get all the xx-terms on one side.

First, we want to eliminate the x-x on the right side. To do that, add xx to both sides of the equation:

2x+1+x=x+7+x-2x + 1 + x = -x + 7 + x

This simplifies to:

x+1=7- x + 1 = 7

Step 2: Move the constant term to the other side.

Now, subtract 1 from both sides:

x+11=71- x + 1 - 1 = 7 - 1

Simplifying gives:

x=6- x = 6

Step 3: Solve for xx.

To isolate xx, multiply both sides of the equation by 1-1:

x=6x = -6

Final Answer:

x=6x = -6

Let me know if you need further clarification or a breakdown of any step!


Related Questions:

  1. How would the solution change if we had 2x+1=x+72x + 1 = -x + 7?
  2. What is the solution to the equation 3x5=2x+43x - 5 = 2x + 4?
  3. How do you solve an equation with fractions, like 12x+3=5\frac{1}{2}x + 3 = 5?
  4. Can you solve equations where the variable appears on both sides, like 4x3=2x+54x - 3 = 2x + 5?
  5. What is the difference between solving a linear equation and a quadratic equation?

Tip: When solving linear equations, always aim to get the variable on one side and constants on the other to simplify the process.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

Ax + B = Cx + D

Theorems

Solving linear equations

Suitable Grade Level

Grades 7-9