Question

Solve for x in the equation.

Answer 1

Okay ...

Answer 2

\[\frac{ 3(x-6) }{ 5 }=x\]

Answer 3

x=-9

Answer 4

Show. Your. Work.

Answer 5

Calculator. Did. My. Work.

Answer 6

One moment,

Answer 7

Calculator. Is. Not. Your. Work.

Answer 8

Nope, the calculator is not the appropriate substitution for your work. If you're going to use a calculator, you don't even need to post here.

Answer 9

Your steps are not correct because you removed variable \(x\) from the expressions which is not consistent. \(x\) needs to be there in order for the expressions you create during the solving process to be equivalent expressions. Using equivalent expressions is part of the process of solving algebraic expressions.

Answer 10

\(x\) is missing on the left side of the equation. Notice in the original equation \(x\) occurs on both sides of the equation.

Answer 11

Then I don’t know..

Answer 12

Let's do it this way:

Answer 13

\(\dfrac{3(x - 6)}{5} = x\)

Multiply both sides by \(5\). Post your result here using \(\LaTeX\)

Answer 14

\[3(x-6)=5x\]

Answer 15

On the left side of the equation, use the distributive property to expand the expression.

Answer 16

\[3x-18=5x\]

Answer 17

Next, subtract \(3x\) from both sides.

Answer 18

\[-18=2x\]

Answer 19

Divide both sides by \(2\)

Answer 20

X=-9

Answer 21

Now, take the value for \(x\) and substitute it in place of \(x\) in the original equation. Do not do any other step besides what I have already stated and post what you've done here using \(\LaTeX\)

Answer 22

\[\frac{ 3(-9-6) }{ 5 }=-9\]

Answer 23

There you go. That is the correct way to substitute.

Answer 24

And then you would continue to simplify the left side until you get \(-9 = -9\). Of course I prefer to get \(0 = 0\).

Answer 25

So you don’t have negatives?

Answer 26

No, it's just that \(0 = 0\) is the most consistent way of demonstrating both sides equal when substituting the \(x\) you found back to the original equation and simplifying to determine whether both sides agree. For any substitution, you can always end with \(0 = 0\).