Answer:
The value of x is 7.
Step-by-step explanation:
First, you have to make the left side into 1 fraction by making the denormintor the same and make it into simplest form :
[tex] \frac{x}{3} + \frac{x}{6} [/tex]
[tex] = \frac{x \times 2}{3 \times 2} + \frac{x}{6} [/tex]
[tex] = \frac{2x}{6} + \frac{x}{6} [/tex]
[tex] = \frac{2x + x}{6} [/tex]
[tex] = \frac{3x}{6} [/tex]
[tex] = \frac{x}{2} [/tex]
Next you have to multiply both sides by 2 in order to make x the subject :
[tex] \frac{x}{2} = \frac{7}{2} [/tex]
[tex] \frac{x}{2} \times 2 = \frac{7}{2} \times 2[/tex]
[tex]x = 7[/tex]
