(3x-2)H-7=(4x-5)(5-22) eching

$$( 3 x - 2 ) H - 7 = ( 4 x - 5 ) ( 5 - 22 )$$

H uchun yechish

$$H=-\frac{4\left(17x-23\right)}{3x-2}$$

$$x\neq \frac{2}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3x-2 ga H ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3xH-2H-7=\left(4x-5\right)\left(5-22\right)$$

-17 olish uchun 5 dan 22 ni ayirish.

$$3xH-2H-7=\left(4x-5\right)\left(-17\right)$$

4x-5 ga -17 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3xH-2H-7=-68x+85$$

7 ni ikki tarafga qo’shing.

$$3xH-2H=-68x+85+7$$

92 olish uchun 85 va 7'ni qo'shing.

$$3xH-2H=-68x+92$$

H'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(3x-2\right)H=-68x+92$$

Tenglama standart shaklda.

$$\left(3x-2\right)H=92-68x$$

Ikki tarafini 3x-2 ga bo‘ling.

$$\frac{\left(3x-2\right)H}{3x-2}=\frac{92-68x}{3x-2}$$

3x-2 ga bo'lish 3x-2 ga ko'paytirishni bekor qiladi.

$$H=\frac{92-68x}{3x-2}$$

-68x+92 ni 3x-2 ga bo'lish.

$$H=\frac{4\left(23-17x\right)}{3x-2}$$

x uchun yechish

$$x=\frac{2\left(H+46\right)}{3H+68}$$

$$H\neq -\frac{68}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3x-2 ga H ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3xH-2H-7=\left(4x-5\right)\left(5-22\right)$$

-17 olish uchun 5 dan 22 ni ayirish.

$$3xH-2H-7=\left(4x-5\right)\left(-17\right)$$

4x-5 ga -17 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3xH-2H-7=-68x+85$$

68x ni ikki tarafga qo’shing.

$$3xH-2H-7+68x=85$$

2H ni ikki tarafga qo’shing.

$$3xH-7+68x=85+2H$$

7 ni ikki tarafga qo’shing.

$$3xH+68x=85+2H+7$$

92 olish uchun 85 va 7'ni qo'shing.

$$3xH+68x=92+2H$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(3H+68\right)x=92+2H$$

Tenglama standart shaklda.

$$\left(3H+68\right)x=2H+92$$

Ikki tarafini 68+3H ga bo‘ling.

$$\frac{\left(3H+68\right)x}{3H+68}=\frac{2H+92}{3H+68}$$

68+3H ga bo'lish 68+3H ga ko'paytirishni bekor qiladi.

$$x=\frac{2H+92}{3H+68}$$

92+2H ni 68+3H ga bo'lish.

$$x=\frac{2\left(H+46\right)}{3H+68}$$