For this case we must find the value of the variable of the following equation:
[tex]\frac {2} {3} x + 4 = \frac {1} {2} x + 5[/tex]
Subtracting [tex]\frac {1} {2} x[/tex] from both sides:
[tex]\frac {2} {3} x- \frac {1} {2} x + 4 = 5\\\frac {4-3} {6} x + 4 = 5\\\frac {1} {6} x + 4 = 5[/tex]
Subtracting 4 from both sides:
[tex]\frac {1} {6} {x} = 5-4\\\frac {1} {6} x = 1[/tex]
Multiplying by 6 on both sides:
[tex]x = 6 * 1\\x = 6[/tex]
Answer:
[tex]x = 6[/tex]
