How to Solve Equations by Isolating the Variable | A Step-by-Step Guide

9x + 2 = 4x + 12

To solve this equation, we need to isolate the variable x

To solve this equation, we need to isolate the variable x.

First, we will combine like terms by subtracting 4x from both sides of the equation:
9x + 2 – 4x = 4x + 12 – 4x
This simplifies to:
5x + 2 = 12

Next, we will isolate the term containing the variable by subtracting 2 from both sides:
5x + 2 – 2 = 12 – 2
This simplifies to:
5x = 10

To solve for x, we will divide both sides of the equation by 5:
(5x)/5 = 10/5
This gives us:
x = 2

Therefore, the solution to the equation 9x + 2 = 4x + 12 is x = 2.

In general, when solving equations, it is important to perform the same operations on both sides of the equation in order to maintain its equality.

More Answers:

[next_post_link]

Share:

Recent Posts

Mathematics in Cancer Treatment

How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing

Read More »