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.

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