Answer:
![\huge{x = (7)/(2) }](https://img.qammunity.org/2022/formulas/mathematics/high-school/7wk0xuo7wsm63y6kl7di6dpail4rdmkttk.png)
Explanation:
5(x - 9) + 3(x + 4) = 2(x - 6)
First expand the terms in the bracket
That's
5x - 45 + 3x + 12 = 2x - 12
Simplify
8x - 33 = 2x - 12
8x - 2x = 33 - 12
6x = 21
Divide both sides by 6
![(6x)/(6) = (21)/(6) \\ x = (21)/(6)](https://img.qammunity.org/2022/formulas/mathematics/high-school/q7wqznit65b069ahw0flftgwqgtfd1xkfj.png)
Simplify
We have the final answer as
![x = (7)/(2) \\](https://img.qammunity.org/2022/formulas/mathematics/high-school/rr85aeeu21ukzhooqpepdroee3lt4i0iue.png)
Hope this helps you