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:

$x = -10$