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\( \left[\begin{array}{ll}\text { 4. จากสมการ } \frac{7 x-2}{5}= & x+2 \text { ค่าของ } x \text { ตรงกับข้อใ } \\ \begin{array}{ll}\text { ค. } 4 & \text { ข. } 5 \\ & \text { ง. } 7\end{array}\end{array}\right. \)

Ask by Gibson Chen. in Thailand
Jan 29,2025

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\( x = 6 \)

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Bonus Knowledge

เพื่อลงมือแก้สมการ \( \frac{7x - 2}{5} = x + 2 \) เริ่มจากการคูณทั้งสองข้างด้วย 5 เพื่อกำจัดเศษส่วน เราจะได้ \( 7x - 2 = 5x + 10 \) จากนั้นรวบรวมตัวแปร \( x \) เข้าด้านเดียวกันและตัวเลขเข้าด้วยกัน จะได้ \( 7x - 5x = 10 + 2 \) หรือ \( 2x = 12 \) สุดท้ายแบ่งทั้งสองข้างด้วย 2 จะได้ \( x = 6 \) สำหรับคำตอบนั้นไม่ปรากฏในตัวเลือกถ้ามีให้ลองเช็คข้อมูลใหม่ เมื่อเทียบกับการแก้ปัญหาของสมการ จากข้อผิดพลาดที่พบบ่อยคือมักจะลืมการกระทำที่จำเป็นเมื่อมีเศษส่วน เช่น การคูณทั้งสองข้างด้วยจำนวนเพื่อกำจัดเศษนั้นซึ่งจะทำให้ผลลัพธ์สุดท้ายถูกต้องมากขึ้น นอกจากนี้ยังควรระวังในการย้ายตัวแปรและค่าคงที่ไปในทิศทางที่ถูกต้องเพื่อหลีกเลี่ยงความสับสน!

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