To solve the problem, we need to express the relationship described in the question as an equation. The phrase ‘three times a number x increased by four’ translates mathematically to 3x + 4. The phrase ‘is equal to five times the number x’ translates to 5x. Therefore, we can set up the equation:
3x + 4 = 5x
This equation represents the situation described, and we can now solve it to find the value of x.