Question

(x+7)1/3=(9x)1/3%7B1%7D%7B3%7D%20" id="TexFormula1" title="(x + 7) \frac{1}{ 3} = (9x) \frac{1}{3} " alt="(x + 7) \frac{1}{ 3} = (9x) \frac{1}{3} " align="absmiddle" class="latex-formula">

Answer 1

The first step for solving this equation is to distribute $\frac{1}{3}$ through the first set of parenthesis.
$\frac{1}{3}x + \frac{7}{3}$ = (9x) × $\frac{1}{3}$
Remove the parenthesis.
$\frac{1}{3}x + \frac{7}{3}$ = 9x × $\frac{1}{3}$
Reduce the numbers on the right side of the equals sign with 3.
$\frac{1}{3}x + \frac{7}{3}$ = 3x
Now multiply both sides of the equation by 3.
x + 7 = 9x
Move the constant to the right side and then change its sign.
x = 9x - 7
Move the variable to the left side and change its sign.
x - 9x = -7
-8x = -7
Lastly,, divide both sides of the equation by -8 to find your final answer.
x = $\frac{7}{8}$
Let me know if you have any further questions.
:)