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Three times the difference “2x minus 1” is the opposite of 9 times x. Solve for x.

Three times the difference “2x minus 1” is the opposite of 9 times x. Solve for x-example-1
User Tomas Ward
by
2.7k points

1 Answer

11 votes
11 votes

Answer:

x = 1/5 - first box

Explanation:

Let's interpret this by using what I call the "isolated-x method."

First, we can simplify whatever's being affected in the parentheses.

#1: 3 times (2x) is equal to 6x

#2: 3 times (- 1 | equal to -1) results in -3, or + -3

So now we're working with 6x - 3 = -9x.

Now, we'll add a positive 9x to the -9x, since it can be hugely helpful to have one side result in 0.

Now we're working with 15x (6x + our new 9x) - 3 = 0

Since we have "whole like terms" we can now easily add 3 to each side.

Now we're working with 15x = 3 (0 + our new 3)

We can finish by dividing each side by 3.

15x = 3 now turns into 5x = 1.

To get from 5 to 1 you can multiply 5 by its "multiplicative inverse," also known as 1/5.

Therefore, x = 1/5

Hopefully this helped a bunch! Tell me if you need any further assistance...

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User Copumpkin
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