Questions: y=5(x/10-2), then x= y+ .

Transcript text: $y=5\left(\frac{x}{10}-2\right)$, then $x=$ $\square$ $y+$ . $\square$

Solution

Solution Steps

To solve for $ x $ in terms of $ y $, we need to isolate $ x $ on one side of the equation. We will start by distributing the 5 and then solve for $ x $.

Step 1: Distribute the 5

Given the equation: \[ y = 5 \left( \frac{x}{10} - 2 \right) \]

First, distribute the 5: \[ y = 5 \cdot \frac{x}{10} - 5 \cdot 2 \] \[ y = \frac{5x}{10} - 10 \] \[ y = \frac{x}{2} - 10 \]

Step 2: Isolate $ x $

To isolate $ x $, add 10 to both sides of the equation: \[ y + 10 = \frac{x}{2} \]

Then, multiply both sides by 2: \[ 2(y + 10) = x \] \[ x = 2y + 20 \]

Final Answer

The value of $ x $ in terms of $ y $ is: \[ \boxed{x = 2y + 20} \]

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