2(x+5) = 8x - 5/3
Let's first distribute the 2
2x + 10 = 8x - 5/3
Now multiply by 3 to get rid of the fraction
6x + 30 = 24x -5
Rearrange the terms to that the x's are on one side and the constants are on the other
Subtract 6x from both sides
30 = 18x - 5
And add 5 to both sides
35 = 18x
Finally divide both sides by 18
35/18 = x
We should always check our answers so evaluate the original equation for x = 35/18
2(35/18 + 5) = 8(35/18) - 5/3
2(125/18) = 280/18 - 5/3
125/9 = 250/18
125/9 = 125/9
Hope this helps.
