Questions: Solve: 1/4 x + 1/2 = 5/8 x=

Transcript text: Solve: $\frac{1}{4} x+\frac{1}{2}=\frac{5}{8}$ Provide your answer below: \[ x= \]

Solution

Solution Steps

To solve the equation $\frac{1}{4} x + \frac{1}{2} = \frac{5}{8}$, we need to isolate $x$. First, subtract $\frac{1}{2}$ from both sides to get $\frac{1}{4} x$ by itself. Then, multiply both sides by 4 to solve for $x$.

Step 1: Set Up the Equation

We start with the equation: \[ \frac{1}{4} x + \frac{1}{2} = \frac{5}{8} \]

Step 2: Isolate $x$

Subtract $\frac{1}{2}$ from both sides: \[ \frac{1}{4} x = \frac{5}{8} - \frac{1}{2} \] To perform the subtraction, convert $\frac{1}{2}$ to eighths: \[ \frac{1}{2} = \frac{4}{8} \] Thus, we have: \[ \frac{1}{4} x = \frac{5}{8} - \frac{4}{8} = \frac{1}{8} \]

Step 3: Solve for $x$

Multiply both sides by 4 to solve for $x$: \[ x = 4 \cdot \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \]