Solving the Equation: Distributing, Simplifying, and Isolating the Variable

2(3x + 1) = 7x – 5

To solve this equation, we will distribute the 2 to the terms inside the parentheses on the left side of the equation

To solve this equation, we will distribute the 2 to the terms inside the parentheses on the left side of the equation.

2 * 3x = 6x
2 * 1 = 2

After distributing 2 to the terms in the parentheses, the equation becomes:

6x + 2 = 7x – 5

Next, we will isolate the variable x on one side of the equation. To do this, we can subtract 6x from both sides of the equation:

6x + 2 – 6x = 7x – 5 – 6x

After simplification, the equation becomes:

2 = x – 5

Now, let’s isolate x by adding 5 to both sides of the equation:

2 + 5 = x – 5 + 5

After simplification, we have:

7 = x

So the solution to the equation is x = 7.

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 »