Math Problem Statement

If 3 x + 7

5 + x 3x+7=5+x, what is the value of x x?

Solution

To solve the equation 3x+7=5+x3x + 7 = 5 + x, follow these steps:

  1. Subtract xx from both sides to move the terms involving xx to the left side: 3xx+7=53x - x + 7 = 5 Simplifying: 2x+7=52x + 7 = 5

  2. Subtract 7 from both sides to isolate the term with xx: 2x=572x = 5 - 7 Simplifying: 2x=22x = -2

  3. Divide both sides by 2 to solve for xx: x=22x = \frac{-2}{2} Simplifying: x=1x = -1

The value of xx is 1-1.

Would you like more details on any step?

Here are 5 related questions for practice:

  1. Solve 4x+5=3x+94x + 5 = 3x + 9.
  2. What is the value of xx if 2x3=5+x2x - 3 = 5 + x?
  3. Solve for xx: 6x+8=2x+206x + 8 = 2x + 20.
  4. If 7x+2=x+147x + 2 = x + 14, find xx.
  5. Find xx in 5x9=2x+125x - 9 = 2x + 12.

Tip: When solving equations, always try to simplify by moving all terms with variables to one side and constants to the other side before solving.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic equation solving: moving terms and simplifying

Theorems

Additive property of equality
Multiplicative property of equality

Suitable Grade Level

Grades 6-8