Given the equation 3x + 25 = 7x − 5, which order of operations completely solves for x?
Linear Equations are very important concepts from mathematical point of view. They are the fundamentals in many of the advanced mathematical concepts like calculus and geometry.
Answer: After performing these sets of operations, we get the solution of the given equation as x = 5.
Let's understand in detail.
Given problem: 3x + 25 = 7x - 5
To solve this problem we follow the steps below:
- Step 1: Rearrange the equation having the variables on one side and the constants on other side. Hence, we have 7x - 3x = 25 - 5.
- Step 2: Perform the necessary operations on both sides. Hence, we have 4x = 20
- Step 3: Finally, perform the division operation to find the final answer, that is, x = 5.