Question

What is the solution to the equation shown
2/3x + 5= 1

Answer 1

x=-6

Explanation:

Subtract 5 from 1 So: 2/3x=-4

Multiply 3/2 on both sides : x=-12/2

So x = -6

Answer 2

`{x = -6}`

Explanation:

Note: * = times (x)

`\huge {(2)/(3) x + 5 = 1}\\`

Let's isolate the x

We can do this via inverse operations.

`(2)/(3)x + 5 = 1\\-5 \hspace9 \hspace9 -5\\\\(2)/(3)x = -4\\ * 3 \hspace9 *3\\\\2x = -12`

Now that we've isolated the x, we want to simplify it. We do this so we can make x by itself as just x instead of 6x.

`(2x)/(2) = (-12)/(2) \\\\(2x)/(2) = x\\\\(-12)/(2) = -6\\\\\huge\boxed {x = -6}`

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