Answer:
x = 30/7
Step-by-step explanation:
Given: [tex]$ \frac{2}{3}x = -\frac{1}{2}x + 5 $[/tex]
Adding [tex]$ \frac{1}{2}x $[/tex] on both sides, we get:
[tex]$ \frac{2}{3}x + \frac{1}{2}x = 5 $[/tex]
Taking x common outside, we get:
[tex]$ \bigg( \frac{2}{3} + \frac{1}{2} \bigg)x = 5 $[/tex]
Taking LCM, we get:
[tex]$ \bigg( \frac{4 + 3}{6} \bigg ) x = 5 $[/tex]
[tex]$ \frac{7}{6}x = 5 $[/tex]
Multiplying by [tex]$ \frac{7}{6} $[/tex] to determine the value of x, we get:
[tex]$ x = \frac{6}{7} . 5 $[/tex]
Therefore, [tex]$ x = \frac{30}{7} $[/tex] which is the required answer.
