Question

solve the equation.
\frac{4}{7} + \frac{1}{3}x - \frac{1}{4} = \frac{2}{3}x
the solution is x = \square.
(type an integer or a simplified fraction.)

Explanation:

Step1: Combine like x terms

$\frac{1}{3}x - \frac{2}{3}x = -\frac{1}{3}x$
Equation becomes: $\frac{4}{7} - \frac{1}{4} = -\frac{1}{3}x$

Step2: Compute left-hand side sum

Find common denominator 28:
$\frac{16}{28} - \frac{7}{28} = \frac{9}{28}$
Equation becomes: $\frac{9}{28} = -\frac{1}{3}x$

Step3: Isolate x by multiplying by -3

$x = \frac{9}{28} \times (-3)$

Step4: Calculate final value

$x = -\frac{27}{28}$

Answer:

$x = -\frac{27}{28}$