Question

1/3(x + 2) = 2/3x + 4

Answer 1

For this case we have the following equation:

`\frac {1} {3} (x + 2) = \frac {2} {3} x + 4`

We apply distributive property on the left side of the equation:

`\frac {1} {3} x + \frac {2} {3} = \frac {2} {3} x + 4`

Subtracting
`\frac {2} {3} x` from both sides of the equation:

`\frac {1} {3} x- \frac {2} {3} x + \frac {2} {3} = 4\\- \frac {1} {3} x + \frac {2} {3} = 4`

Subtracting
`\frac {2} {3}`from both sides of the equation:

`- \frac {1} {3} x = 4- \frac {2} {3}\\- \frac {1} {3} x = \frac {12-2} {3}\\- \frac {1} {3} x = \frac {10} {3}`

We multiply by 3 on both sides of the equation:

`-x = \frac {10} {3} * 3\\-x = 10`

We multiply by -1 on both sides of the equation:

`x = -10`

The solution of the equation is
`x = -10`

ANswer:

`x = -10`