Question
Solve the equation for \( x \) \( 3 x-w=a x+z \)
Ask by Macdonald Peterson. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = \frac{z + w}{3 - a} \)
Solution
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The Deep Dive
To solve for \( x \) in the equation \( 3x - w = ax + z \), we first want to get all terms involving \( x \) on one side of the equation and constant terms on the other side. 1. Start by rearranging the equation: \[ 3x - ax = z + w \] 2. Factor out \( x \): \[ x(3 - a) = z + w \] 3. Finally, divide both sides by \( (3 - a) \) (assuming \( a \neq 3 \)): \[ x = \frac{z + w}{3 - a} \] And there you have it! The solution for \( x \) is \( \frac{z + w}{3 - a} \).
