Question

Question is in the picture. And if you decide to answer, please explain said answer with all the steps and what not.

Answer 1

x = -9

Explanation:

Given the equation:

`\displaystyle{28=-9x-8+5x}`

First, simplify the like term of x-variable:

`\displaystyle{28=-8-4x}`

Then add both sides by 8 since we are trying to solve for x, we have to isolate x:

`\displaystyle{28+8=-8+8-4x}\\\\\displaystyle{36=-4x}`

Finally, divide both sides by -4, without forgetting that dividing positive with negative always result in negative:

`\displaystyle{(36)/(-4)=(-4x)/(-4)}\\\\\displaystyle{-9=x}`

And also, dividing negative with negative is always positive. You can think like this:

• Dividing or multiplying same operators (plus and plus or minus and minus) = positive
• Dividing or multiplying different operators (minus and plus) = negative

And thus, x = -9