1/4a+1/3=1/3a+5/4
1/4a-1/3a+1/3=1/3a-1/3a+5/4
1/4a-1/3a+1/3=5/4
1/4a-1/3a+1/3-1/3=5/4-1/3
1/4a-1/3a=5/4-1/3
Figure the common denominator for 1/4a,1/3a, 5/4 and -1/3 which is 12
Multiply by 3 for 1/4a. (1)(3)/4(3a)=3/12a
Multiply by 4 for 1/3a. (1)(4)(3)(4a)=4/12a
Multiply by 3 for 5/4. (5)(3)/4(3)=15/12
Multiply by 4 for -1/3. (-1)(4)(3)(4)=-4/12
3/12a-4/12a=15/12-4/12
-1/12a=11/12
Multiply by -12/1 for -1/12a and 11/12
-1/12(-12/1)a=11/12(-12/1)
Cross out 12 and -12 , divide by 12 and then becomes -11.
Cross out -12 and -12 , divide by 12 and then becomes 1.
Cross out -1 and 1, divide by 1 and then becomes 1.
1*1*a=-11
a=-11
Answer: a=-11