Math Problem Statement

9x+4=7x+4

Solution

To solve the equation 9x+4=7x+49x + 4 = 7x + 4, follow these steps:

  1. Subtract 7x7x from both sides to get the variable terms on one side: 9x7x+4=49x - 7x + 4 = 4 This simplifies to: 2x+4=42x + 4 = 4

  2. Subtract 4 from both sides to isolate the 2x2x term: 2x=02x = 0

  3. Finally, divide both sides by 2 to solve for xx: x=0x = 0

The solution is x=0x = 0.

Would you like further details or have any questions?

Here are five related questions:

  1. What happens if the constant on the right side changes?
  2. Can you solve 9x+5=7x+39x + 5 = 7x + 3?
  3. How do you solve 9x+4=7x+69x + 4 = 7x + 6?
  4. How would this change if it were an inequality, like 9x+47x+49x + 4 \geq 7x + 4?
  5. How do you solve 9x+4=09x + 4 = 0?

Tip: Always simplify both sides of an equation as much as possible before moving terms.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Equation manipulation: ax + b = cx + d

Theorems

Properties of equality

Suitable Grade Level

Grades 6-8