The problem asks us to solve the equation $40 = 10 + \frac{x}{2}$ for the variable $x$.

AlgebraLinear EquationsSolving for x
2025/3/9

1. Problem Description

The problem asks us to solve the equation 40=10+x240 = 10 + \frac{x}{2} for the variable xx.

2. Solution Steps

We are given the equation:
40=10+x240 = 10 + \frac{x}{2}
First, we subtract 10 from both sides of the equation:
4010=10+x21040 - 10 = 10 + \frac{x}{2} - 10
30=x230 = \frac{x}{2}
Next, we multiply both sides of the equation by 2 to isolate xx:
30×2=x2×230 \times 2 = \frac{x}{2} \times 2
60=x60 = x
Therefore, x=60x = 60.

3. Final Answer

x=60x = 60

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