Hello there!
Question:-
![-4x-8y=36](https://img.qammunity.org/2022/formulas/mathematics/college/r4w14x37xs87znz3nrowpxpq9n5kpio6wa.png)
We need to find the value of x.
Solution:-
![\sf \longmapsto-4x-8y=36](https://img.qammunity.org/2022/formulas/mathematics/college/g973jd3n609k1clp5dpe5uvkuitptiiku2.png)
Firstly, Add 8y to both sides :-
![\sf \longmapsto \: - 4x - 8y+8y=36+8y](https://img.qammunity.org/2022/formulas/mathematics/college/mqs11deofemya7quomddt3bq2ybqr0mq39.png)
On Simplification:-
As (-) and (+) equals to (-),It Will be 8y-8y.Answer would be 0.
![\sf \longmapsto \: - 4x - 0 = 36 + 8y](https://img.qammunity.org/2022/formulas/mathematics/college/zhtm5op7t8z3ndp0lcz21xsgsfk8zkh2qv.png)
![\sf \longmapsto \: - 4x = 8y + 36](https://img.qammunity.org/2022/formulas/mathematics/college/r4kw5ndjqpjua99ehfg9a3raksnodyvxbf.png)
Then, Divide both sides by -4:-
![\sf \longmapsto \: (4x)/( - 4) = (8y + 36)/( - 4)](https://img.qammunity.org/2022/formulas/mathematics/college/2eqdyg8zr5eo4sn703vii01x13o4ly5e2k.png)
On Simplification:-
![\sf \longmapsto \: x = - 2y - 9](https://img.qammunity.org/2022/formulas/mathematics/college/ho2qsb5ve49iza6bq06bxzwnsrg13ny9eo.png)
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Henceforth the value of x is :-
![\boxed{\tt \: x = - 2y - 9}](https://img.qammunity.org/2022/formulas/mathematics/college/w7mm3q97638pw02hno2wu8jj0o8zema7os.png)
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I hope this helps!
Please let me know if you have any questions.
~MisterBrian