144:(8x+24)+18=2 eching

$$144 : ( 8 x + 24 ) + 18 = 2$$

x uchun yechish

$$x = -\frac{33}{8} = -4\frac{1}{8} = -4,125$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -3 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 8\left(x+3\right) ga ko'paytirish.

$$144+8\left(x+3\right)\times 18=16\left(x+3\right)$$

144 hosil qilish uchun 8 va 18 ni ko'paytirish.

$$144+144\left(x+3\right)=16\left(x+3\right)$$

144 ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$144+144x+432=16\left(x+3\right)$$

576 olish uchun 144 va 432'ni qo'shing.

$$576+144x=16\left(x+3\right)$$

16 ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$576+144x=16x+48$$

Ikkala tarafdan 16x ni ayirish.

$$576+144x-16x=48$$

128x ni olish uchun 144x va -16x ni birlashtirish.

$$576+128x=48$$

Ikkala tarafdan 576 ni ayirish.

$$128x=48-576$$

-528 olish uchun 48 dan 576 ni ayirish.

$$128x=-528$$

Ikki tarafini 128 ga bo‘ling.

$$x=\frac{-528}{128}$$

\frac{-528}{128} ulushini 16 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{33}{8}$$