n2(x+3)-(2x-7)=12 eching

$$n 2 ( x + 3 ) - ( 2 x - 7 ) = 12$$

n_2 uchun yechish

$$n_{2}=\frac{2x+5}{x+3}$$

$$x\neq -3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

n_{2} ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$n_{2}x+3n_{2}-\left(2x-7\right)=12$$

2x-7 teskarisini topish uchun har birining teskarisini toping.

$$n_{2}x+3n_{2}-2x+7=12$$

2x ni ikki tarafga qo’shing.

$$n_{2}x+3n_{2}+7=12+2x$$

Ikkala tarafdan 7 ni ayirish.

$$n_{2}x+3n_{2}=12+2x-7$$

5 olish uchun 12 dan 7 ni ayirish.

$$n_{2}x+3n_{2}=5+2x$$

n_{2}'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(x+3\right)n_{2}=5+2x$$

Tenglama standart shaklda.

$$\left(x+3\right)n_{2}=2x+5$$

Ikki tarafini x+3 ga bo‘ling.

$$\frac{\left(x+3\right)n_{2}}{x+3}=\frac{2x+5}{x+3}$$

x+3 ga bo'lish x+3 ga ko'paytirishni bekor qiladi.

$$n_{2}=\frac{2x+5}{x+3}$$

x uchun yechish

$$x=-\frac{3n_{2}-5}{n_{2}-2}$$

$$n_{2}\neq 2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

n_{2} ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$n_{2}x+3n_{2}-\left(2x-7\right)=12$$

2x-7 teskarisini topish uchun har birining teskarisini toping.

$$n_{2}x+3n_{2}-2x+7=12$$

Ikkala tarafdan 3n_{2} ni ayirish.

$$n_{2}x-2x+7=12-3n_{2}$$

Ikkala tarafdan 7 ni ayirish.

$$n_{2}x-2x=12-3n_{2}-7$$

5 olish uchun 12 dan 7 ni ayirish.

$$n_{2}x-2x=5-3n_{2}$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(n_{2}-2\right)x=5-3n_{2}$$

Ikki tarafini n_{2}-2 ga bo‘ling.

$$\frac{\left(n_{2}-2\right)x}{n_{2}-2}=\frac{5-3n_{2}}{n_{2}-2}$$

n_{2}-2 ga bo'lish n_{2}-2 ga ko'paytirishni bekor qiladi.

$$x=\frac{5-3n_{2}}{n_{2}-2}$$