2 answers:
Answer:
m=-12
Step-by-step explanation:
Given equation is ![\[6+\frac{5m}{3}=m-2\] ](https://tex.z-dn.net/?f=%5C%5B6%2B%5Cfrac%7B5m%7D%7B3%7D%3Dm-2%5C%5D%0A)
Simplifying the equation:
![\[6+\frac{5m}{3}-m+2=0\] ](https://tex.z-dn.net/?f=%5C%5B6%2B%5Cfrac%7B5m%7D%7B3%7D-m%2B2%3D0%5C%5D%0A)
![\[=>8+\frac{5m}{3}-m=0\] ](https://tex.z-dn.net/?f=%5C%5B%3D%3E8%2B%5Cfrac%7B5m%7D%7B3%7D-m%3D0%5C%5D%0A)
![\[=>8+\frac{5m-3m}{3}=0\] ](https://tex.z-dn.net/?f=%5C%5B%3D%3E8%2B%5Cfrac%7B5m-3m%7D%7B3%7D%3D0%5C%5D%0A)
![\[=>8+\frac{2m}{3}=0\] ](https://tex.z-dn.net/?f=%5C%5B%3D%3E8%2B%5Cfrac%7B2m%7D%7B3%7D%3D0%5C%5D%0A)
![\[=>\frac{2m}{3}=-8\] ](https://tex.z-dn.net/?f=%5C%5B%3D%3E%5Cfrac%7B2m%7D%7B3%7D%3D-8%5C%5D%0A)
![\[=>m=-8*\frac{3}{2}\] ](https://tex.z-dn.net/?f=%5C%5B%3D%3Em%3D-8%2A%5Cfrac%7B3%7D%7B2%7D%5C%5D%0A)
![\[=>m=-12\] ](https://tex.z-dn.net/?f=%5C%5B%3D%3Em%3D-12%5C%5D%0A)
The given equation can be expressed as m=-12.
Answer:
m = -12
Step-by-step explanation:
Subtract 6 from both sides
6 + 5m -6 = m - 2 - 6
Simplify
5m/3 = m-8
Multiply both sides by 3
5m * 3 = m * 3 - 8 * 3
Simplify
5m = 3m - 24
Subtract 3m from both sides
5m - 3m = 3m - 24 - 3m
Simplify
2m = - 24
Divide both sides by 2
2m/2 = -24/2
Simplify
m = - 12
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Step-by-step explanation: