What is the solution to 5(x + 2) - 3x + 5 = 2x + 15?

Answer 1

Let's solve the given equation step by step.

5(x + 2) - 3x + 5 = 2x + 15

Start by distributing 5 to both terms inside the parentheses:

5x + 10 - 3x + 5 = 2x + 15

Combine like terms on both sides of the equation:

(5x - 3x) + (10 + 5) = (2x + 15)

2x + 15 = 2x + 15

In this step, the 2x term cancels out on both sides of the equation. Therefore, the equation becomes:

15 = 15

This equation states that 15 is equal to 15, which is always true. Since both sides of the equation are equal, this means that the given equation has infinitely many solutions.