7-[8x-3(x+3)]=5x-(4-2x) eching

$$7 - [ 8 x - 3 ( x + 3 ) ] = 5 x - ( 4 - 2 x )$$

x uchun yechish

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1,666666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$7-\left(8x-3x-9\right)=5x-\left(4-2x\right)$$

5x ni olish uchun 8x va -3x ni birlashtirish.

$$7-\left(5x-9\right)=5x-\left(4-2x\right)$$

5x-9 teskarisini topish uchun har birining teskarisini toping.

$$7-5x-\left(-9\right)=5x-\left(4-2x\right)$$

-9 ning teskarisi 9 ga teng.

$$7-5x+9=5x-\left(4-2x\right)$$

16 olish uchun 7 va 9'ni qo'shing.

$$16-5x=5x-\left(4-2x\right)$$

4-2x teskarisini topish uchun har birining teskarisini toping.

$$16-5x=5x-4-\left(-2x\right)$$

-2x ning teskarisi 2x ga teng.

$$16-5x=5x-4+2x$$

7x ni olish uchun 5x va 2x ni birlashtirish.

$$16-5x=7x-4$$

Ikkala tarafdan 7x ni ayirish.

$$16-5x-7x=-4$$

-12x ni olish uchun -5x va -7x ni birlashtirish.

$$16-12x=-4$$

Ikkala tarafdan 16 ni ayirish.

$$-12x=-4-16$$

-20 olish uchun -4 dan 16 ni ayirish.

$$-12x=-20$$

Ikki tarafini -12 ga bo‘ling.

$$x=\frac{-20}{-12}$$

\frac{-20}{-12} ulushini -4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{5}{3}$$