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Solve for \( x \) \[ y=(x+a) m \] \( x=\square \)

Ask by Cruz Bright. in the United States
Jan 27,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( x = \frac{y}{m} - a \)

Solution

To solve for \( x \) in the equation: \[ y = (x + a) m \] follow these steps: ### Step 1: Expand the Equation First, expand the right-hand side of the equation: \[ y = m(x + a) \] \[ y = mx + ma \] ### Step 2: Isolate the Term with \( x \) Subtract \( ma \) from both sides to isolate the term containing \( x \): \[ y - ma = mx \] ### Step 3: Solve for \( x \) Divide both sides of the equation by \( m \) to solve for \( x \): \[ x = \frac{y - ma}{m} \] Alternatively, you can express it as: \[ x = \frac{y}{m} - a \] ### Final Answer \[ x = \frac{y}{m} - a \]

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The Deep Dive

To isolate \( x \) in the equation \( y = (x + a) m \), start by dividing both sides by \( m \) (assuming \( m \neq 0 \)) to get: \[ \frac{y}{m} = x + a. \] Next, subtract \( a \) from both sides to solve for \( x \): \[ x = \frac{y}{m} - a. \] So the solution for \( x \) is: \[ x = \frac{y}{m} - a. \]

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