2 ( 1 - ( 4 x - 3 ) + 2 ( x + 6 ) ) = 3 ( x + 4 ( 2 x - 5 ) - 6 ( 3 x + 2 ) ] - 10
x uchun yechish
x=-6
Grafik
Baham ko'rish
Klipbordga nusxa olish
2\left(1-4x-\left(-3\right)+2\left(x+6\right)\right)=3\left(x+4\left(2x-5\right)-6\left(3x+2\right)\right)-10
4x-3 teskarisini topish uchun har birining teskarisini toping.
2\left(1-4x+3+2\left(x+6\right)\right)=3\left(x+4\left(2x-5\right)-6\left(3x+2\right)\right)-10
-3 ning teskarisi 3 ga teng.
2\left(4-4x+2\left(x+6\right)\right)=3\left(x+4\left(2x-5\right)-6\left(3x+2\right)\right)-10
4 olish uchun 1 va 3'ni qo'shing.
2\left(4-4x+2x+12\right)=3\left(x+4\left(2x-5\right)-6\left(3x+2\right)\right)-10
2 ga x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2\left(4-2x+12\right)=3\left(x+4\left(2x-5\right)-6\left(3x+2\right)\right)-10
-2x ni olish uchun -4x va 2x ni birlashtirish.
2\left(16-2x\right)=3\left(x+4\left(2x-5\right)-6\left(3x+2\right)\right)-10
16 olish uchun 4 va 12'ni qo'shing.
32-4x=3\left(x+4\left(2x-5\right)-6\left(3x+2\right)\right)-10
2 ga 16-2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
32-4x=3\left(x+8x-20-6\left(3x+2\right)\right)-10
4 ga 2x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
32-4x=3\left(9x-20-6\left(3x+2\right)\right)-10
9x ni olish uchun x va 8x ni birlashtirish.
32-4x=3\left(9x-20-18x-12\right)-10
-6 ga 3x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
32-4x=3\left(-9x-20-12\right)-10
-9x ni olish uchun 9x va -18x ni birlashtirish.
32-4x=3\left(-9x-32\right)-10
-32 olish uchun -20 dan 12 ni ayirish.
32-4x=-27x-96-10
3 ga -9x-32 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
32-4x=-27x-106
-106 olish uchun -96 dan 10 ni ayirish.
32-4x+27x=-106
27x ni ikki tarafga qo’shing.
32+23x=-106
23x ni olish uchun -4x va 27x ni birlashtirish.
23x=-106-32
Ikkala tarafdan 32 ni ayirish.
23x=-138
-138 olish uchun -106 dan 32 ni ayirish.
x=\frac{-138}{23}
Ikki tarafini 23 ga bo‘ling.
x=-6
-6 ni olish uchun -138 ni 23 ga bo‘ling.
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Matritsa
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Chegaralar
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