Rahul use addition property of equality in step 2.
Solution:
The image of the question is attached below.
Step 1:
[tex]$2 x-\frac{1}{4}-\frac{3}{5} x=\frac{55}{4}[/tex]
combine like terms together.
[tex]$2 x-\frac{3}{5} x-\frac{1}{4}=\frac{55}{4}[/tex]
To make the denominator same multiply and divide 2x by 5.
[tex]$\frac{10}{5} x-\frac{3}{5} x-\frac{1}{4}=\frac{55}{4}[/tex]
Step 2:
[tex]$\frac{7}{5} x-\frac{1}{4}=\frac{55}{4}[/tex]
By addition property of equality, add [tex]\frac{1}{4}[/tex] on both side of the equation.
[tex]$\frac{7}{5} x-\frac{1}{4}+\frac{1}{4}=\frac{55}{4}+\frac{1}{4}[/tex]
Step 3:
[tex]$ \frac{7}{5} x=\frac{56}{4}[/tex]
Step 4:
Multiply by [tex]\frac{5}{7}[/tex] on both side of the equation.
[tex]x=10[/tex]
Hence Rahul use addition property of equality in step 2.
