The problem is to solve the equation $\frac{x}{7} = 18$ for $x$.

AlgebraLinear EquationsSolving EquationsVariables
2025/4/29

1. Problem Description

The problem is to solve the equation x7=18\frac{x}{7} = 18 for xx.

2. Solution Steps

To solve the equation x7=18\frac{x}{7} = 18 for xx, we need to isolate xx on one side of the equation. We can do this by multiplying both sides of the equation by
7.
x7×7=18×7\frac{x}{7} \times 7 = 18 \times 7
On the left side, the 7 in the numerator and denominator cancel out, leaving xx. On the right side, we need to calculate 18×718 \times 7.
18×7=(10×7)+(8×7)=70+56=12618 \times 7 = (10 \times 7) + (8 \times 7) = 70 + 56 = 126
Therefore, x=126x = 126.

3. Final Answer

x=126x = 126

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