( 3 - \frac { x } { 2 } - ( 1 - \frac { x } { 3 } ) = 7 - ( x - \frac { x } { 2 } )
x uchun yechish
x=15
Grafik
Viktorina
Linear Equation
( 3 - \frac { x } { 2 } - ( 1 - \frac { x } { 3 } ) = 7 - ( x - \frac { x } { 2 } )
Baham ko'rish
Klipbordga nusxa olish
6\left(3-\frac{x}{2}\right)-6\left(1-\frac{x}{3}\right)=42-6\left(x-\frac{x}{2}\right)
Tenglamaning ikkala tarafini 6 ga, 2,3 ning eng kichik karralisiga ko‘paytiring.
18+6\left(-\frac{x}{2}\right)-6\left(1-\frac{x}{3}\right)=42-6\left(x-\frac{x}{2}\right)
6 ga 3-\frac{x}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
18-3x-6\left(1-\frac{x}{3}\right)=42-6\left(x-\frac{x}{2}\right)
6 va 2 ichida eng katta umumiy 2 faktorini bekor qiling.
18-3x-6\left(1-\frac{x}{3}\right)=42-6\times \frac{1}{2}x
\frac{1}{2}x ni olish uchun x va -\frac{x}{2} ni birlashtirish.
18-3x-6\left(1-\frac{x}{3}\right)=42-\frac{6}{2}x
\frac{6}{2} hosil qilish uchun 6 va \frac{1}{2} ni ko'paytirish.
18-3x-6\left(1-\frac{x}{3}\right)=42-3x
3 ni olish uchun 6 ni 2 ga bo‘ling.
18-3x-6\left(1-\frac{x}{3}\right)+3x=42
3x ni ikki tarafga qo’shing.
3\left(18-3x-6\left(1-\frac{x}{3}\right)\right)+9x=126
Tenglamaning ikkala tarafini 3 ga ko'paytirish.
9\left(18-3x-6\left(1-\frac{x}{3}\right)\right)+27x=378
Tenglamaning ikkala tarafini 3 ga ko'paytirish.
9\left(18-3x-6+6\times \frac{x}{3}\right)+27x=378
-6 ga 1-\frac{x}{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
9\left(18-3x-6+2x\right)+27x=378
6 va 3 ichida eng katta umumiy 3 faktorini bekor qiling.
9\left(12-3x+2x\right)+27x=378
12 olish uchun 18 dan 6 ni ayirish.
9\left(12-x\right)+27x=378
-x ni olish uchun -3x va 2x ni birlashtirish.
108-9x+27x=378
9 ga 12-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
108+18x=378
18x ni olish uchun -9x va 27x ni birlashtirish.
18x=378-108
Ikkala tarafdan 108 ni ayirish.
18x=270
270 olish uchun 378 dan 108 ni ayirish.
x=\frac{270}{18}
Ikki tarafini 18 ga bo‘ling.
x=15
15 ni olish uchun 270 ni 18 ga bo‘ling.
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