Answer:
[tex]\displaystyle x=\frac{5}{4},\;\;1\frac{1}{4}, \;\; or \;\; 1.25[/tex]
Step-by-step explanation:
To solve for x, we need to isolate the x variable.
Given:
[tex]\displaystyle x+\frac{1}{2} =\frac{7}{4}[/tex]
Subtract [tex]\frac{1}{2}[/tex] from both sides of the equation:
[tex]\displaystyle (x+\frac{1}{2})-\frac{1}{2} =(\frac{7}{4})-\frac{1}{2}[/tex]
[tex]\displaystyle x=\frac{7}{4}-\frac{1}{2}[/tex]
Now, we will create common denominators to simplify.
[tex]\displaystyle x=\frac{7}{4}-\frac{2}{4}[/tex]
[tex]\displaystyle x=\frac{5}{4}[/tex]
