(1)/(4)x+2+square =(3)/(4)x+square

To solve the equation:<br /><br />\[<br />\frac{1}{4}x + 2 + \square = \frac{3}{4}x + \square<br />\]<br /><br />We need to balance both sides of the equation. Let’s isolate \(x\) terms on one side and constants on the other.<br /><br />### Step-by-step solution:<br />1. Subtract \(\frac{1}{4}x\) from both sides:<br /> \[<br /> 2 + \square = \frac{3}{4}x - \frac{1}{4}x + \square<br /> \]<br /> Simplify:<br /> \[<br /> 2 + \square = \frac{2}{4}x + \square<br /> \]<br /><br />2. Subtract \(\square\) from both sides:<br /> \[<br /> 2 = \frac{2}{4}x<br /> \]<br /><br />3. Simplify \(\frac{2}{4}\) to \(\frac{1}{2}\):<br /> \[<br /> 2 = \frac{1}{2}x<br /> \]<br /><br />4. Solve for \(x\) by multiplying both sides by 2:<br /> \[<br /> x = 4<br /> \]<br /><br />Thus, the missing values in the boxes must balance the equation. The correct answer is:<br /><br />\[<br />\square = 0<br />\]