Answer:
x=15
Step-by-step explanation:
[tex]\frac{1}{3}x + 5 = \frac{1}{2}x + \frac{5}{2}[/tex]
Bring fractions to the common denominator, by multiplying by the factor that brings it to the LCM,
[tex]\frac{2}{6}x+5=\frac{3}{6}x+\frac{5}{2}[/tex]
Inverse operations
[tex]\frac{2}{6}x+5=\frac{3}{6}x+\frac{5}{2}[/tex]
[tex]-\frac{2}{6} x[/tex]
[tex]5=\frac{1}{6}x+\frac{5}{2}\\*6\\\\30=x+15\\-15\\15=x[/tex]
