Pregunta
Solve for \( x \). \[ 7 x=x+30 \] Simplify your answer as much as possible. \[ x= \] \( \square \)
Ask by Vaughan Nichols. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( x = 5 \)
Solución
To solve for \( x \) in the equation:
\[
7x = x + 30
\]
**Step 1:** Subtract \( x \) from both sides to isolate terms containing \( x \):
\[
7x - x = 30
\]
\[
6x = 30
\]
**Step 2:** Divide both sides by 6 to solve for \( x \):
\[
x = \frac{30}{6}
\]
\[
x = 5
\]
Therefore,
\[
x = 5
\]
\(\square\)
Revisado y aprobado por el equipo de tutoría de UpStudy
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Beyond the Answer
To solve for \( x \), first, we need to isolate the variable. Start by subtracting \( x \) from both sides of the equation: \[ 7x - x = 30 \] This simplifies to: \[ 6x = 30 \] Now, divide both sides by 6: \[ x = \frac{30}{6} = 5 \] So, the solution is: \[ x = 5 \]
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