Pregunta
olve the equation for \( x: 5 x+3=2 x+9 \)
Ask by Wood Dawson. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( x = 2 \)
Solución
Certainly! Let's solve the equation step by step.
**Given Equation:**
\[ 5x + 3 = 2x + 9 \]
**Step 1: Subtract \(2x\) from both sides to get all \(x\)-terms on one side.**
\[
5x + 3 - 2x = 2x + 9 - 2x
\]
\[
3x + 3 = 9
\]
**Step 2: Subtract \(3\) from both sides to isolate the \(x\)-term.**
\[
3x + 3 - 3 = 9 - 3
\]
\[
3x = 6
\]
**Step 3: Divide both sides by \(3\) to solve for \(x\).**
\[
\frac{3x}{3} = \frac{6}{3}
\]
\[
x = 2
\]
**Solution:**
\[
x = 2
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Bonus Knowledge
To solve the equation \( 5x + 3 = 2x + 9 \), start by isolating \( x \). Subtract \( 2x \) from both sides to get \( 3x + 3 = 9 \). Next, subtract 3 from both sides: \( 3x = 6 \). Finally, divide both sides by 3 to find \( x = 2 \). Just like that, you’ve cracked the code and found the value of \( x \)! Now you can show off your math skills or use this technique for tackling similar problems in the future.
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