How to solve (X-6)-(X+2)=3X

See below

Step-by-step explanation:

Hi there!

We want to solve the following equation:

(x-6)-(x+2)=3x

In this equation, notice how in front of (x+2), there is a minus sign

It's the same as if the equation was:

(x-6) + -1(x+2)=3x

We'll need to distribute the -1 to both terms, x and 2

so:

-1(x+2)= -1*x + -1*2= -x + -2, or -x-2

As for the (x-6), we can just open up the parenthesis without doing anything.

So on the left side, it becomes:

x -6 -x -2 = 3x

Now we can combine like terms.

x and -x are like terms, while -6 and -2 are like terms

x and -x add up to equal 0, while -6 and -2 add up to equal -8

-8 = 3x

Now, we have 3x by itself, but remember we just want x, or 1x.

Dividing a number by itself will result in 1

So we can divide both sides by 3

*note: we shouldn't divide by 3x. When we divide by 3, the result is , which if we cancel out the 3 from the numerator and denominator, gets the same result as 1x. If we divided by 3x, we'd just be getting 1 on the right side, while we'd be getting on the left, which isn't what we want.

-8/3=x

Hope this helps!

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your answer is the frist one

hop i