Respuesta :

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

         

Answer:

m=-12

Step-by-step explanation:

Given equation is [tex]\[6+\frac{5m}{3}=m-2\] [/tex]

Simplifying the equation:

[tex]\[6+\frac{5m}{3}-m+2=0\] [/tex]

[tex]\[=>8+\frac{5m}{3}-m=0\] [/tex]

[tex]\[=>8+\frac{5m-3m}{3}=0\] [/tex]

[tex]\[=>8+\frac{2m}{3}=0\] [/tex]

[tex]\[=>\frac{2m}{3}=-8\] [/tex]

[tex]\[=>m=-8*\frac{3}{2}\] [/tex]

[tex]\[=>m=-12\] [/tex]

The given equation can be expressed as m=-12.