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\left(2x-4\right)\times 5=\left(2x-6\right)\times 3+\left(x+2\right)\times 3
x qiymati -2,2,3 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2\left(x-3\right)\left(x-2\right)\left(x+2\right) ga, x^{2}-x-6,x^{2}-4,2x^{2}-10x+12 ning eng kichik karralisiga ko‘paytiring.
10x-20=\left(2x-6\right)\times 3+\left(x+2\right)\times 3
2x-4 ga 5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-20=6x-18+\left(x+2\right)\times 3
2x-6 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-20=6x-18+3x+6
x+2 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-20=9x-18+6
9x ni olish uchun 6x va 3x ni birlashtirish.
10x-20=9x-12
-12 olish uchun -18 va 6'ni qo'shing.
10x-20-9x=-12
Ikkala tarafdan 9x ni ayirish.
x-20=-12
x ni olish uchun 10x va -9x ni birlashtirish.
x=-12+20
20 ni ikki tarafga qo’shing.
x=8
8 olish uchun -12 va 20'ni qo'shing.