What is the solution of the equation: 2/3 (15x-6) = 8 (x+1)

x=6

Step-by-step 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