m=2(x+2)/x-2(x-2) eching

$$m = \frac { 2 ( x + 2 ) } { x - 2 ( x - 2 ) }$$

x uchun yechish

$$x=-\frac{4\left(1-m\right)}{m+2}$$

$$m\neq -2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 4 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini -x+4 ga ko'paytirish.

$$m\left(-x+4\right)=2\left(x+2\right)$$

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

$$-mx+4m=2\left(x+2\right)$$

2 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-mx+4m=2x+4$$

Ikkala tarafdan 2x ni ayirish.

$$-mx+4m-2x=4$$

Ikkala tarafdan 4m ni ayirish.

$$-mx-2x=4-4m$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-m-2\right)x=4-4m$$

Ikki tarafini -m-2 ga bo‘ling.

$$\frac{\left(-m-2\right)x}{-m-2}=\frac{4-4m}{-m-2}$$

-m-2 ga bo'lish -m-2 ga ko'paytirishni bekor qiladi.

$$x=\frac{4-4m}{-m-2}$$

4-4m ni -m-2 ga bo'lish.

$$x=-\frac{4\left(1-m\right)}{m+2}$$

x qiymati 4 teng bo‘lmaydi.

$$x=-\frac{4\left(1-m\right)}{m+2}\text{, }x\neq 4$$

m uchun yechish

$$m=\frac{2\left(x+2\right)}{4-x}$$

$$x\neq 4$$