72(3x-1)-3(4x+5)leqx-4(x-7) eching

$$72 ( 3 x - 1 ) - 3 ( 4 x + 5 ) \leq x - 4 ( x - 7 )$$

x uchun yechish

$$x\leq \frac{5}{9}$$

Yechim qadamlari

72 ga 3x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$216x-72-3\left(4x+5\right)\leq x-4\left(x-7\right)$$

-3 ga 4x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$216x-72-12x-15\leq x-4\left(x-7\right)$$

204x ni olish uchun 216x va -12x ni birlashtirish.

$$204x-72-15\leq x-4\left(x-7\right)$$

-87 olish uchun -72 dan 15 ni ayirish.

$$204x-87\leq x-4\left(x-7\right)$$

-4 ga x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$204x-87\leq x-4x+28$$

-3x ni olish uchun x va -4x ni birlashtirish.

$$204x-87\leq -3x+28$$

3x ni ikki tarafga qo’shing.

$$204x-87+3x\leq 28$$

207x ni olish uchun 204x va 3x ni birlashtirish.

$$207x-87\leq 28$$

87 ni ikki tarafga qo’shing.

$$207x\leq 28+87$$

115 olish uchun 28 va 87'ni qo'shing.

$$207x\leq 115$$

Ikki tarafini 207 ga bo‘ling. 207 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x\leq \frac{115}{207}$$

\frac{115}{207} ulushini 23 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x\leq \frac{5}{9}$$