Answer:
x=6
Explanation:
To solve, we need to get the variable, x, by itself. To do this, first, move all the variables to one side of the equation, and the numbers to the other
2/3(15x-6)=8(x+1)
First, distribute the 2/3 on the left
2/3*15x + 2/3*-6=8(x+1)
10x-4=8(x+1)
Next, distribute the 8 on the right
10x-4=8*x + 8*1
10x-4=8x+8
Subtract 8x from both sides
10x-8x-4=8x-8x+8
2x-4=8
Add 4 to both sides
2x-4+4=8+4
2x=12
Now all the numbers are on one side, and the variables are on the other. x is not by itself though, it is being multiplied by 2. To undo this, divide both sides by 2
2x/2=12/2
x=6