3x=(2x-1)(m+4) eching

$$3 x = ( 2 x - 1 ) ( m + 4 )$$

m uchun yechish

$$m=-\frac{4-5x}{1-2x}$$

$$x\neq \frac{1}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2x-1 ga m+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x=2xm+8x-m-4$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$2xm+8x-m-4=3x$$

Ikkala tarafdan 8x ni ayirish.

$$2xm-m-4=3x-8x$$

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

$$2xm-m-4=-5x$$

4 ni ikki tarafga qo’shing.

$$2xm-m=-5x+4$$

m'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2x-1\right)m=-5x+4$$

Tenglama standart shaklda.

$$\left(2x-1\right)m=4-5x$$

Ikki tarafini 2x-1 ga bo‘ling.

$$\frac{\left(2x-1\right)m}{2x-1}=\frac{4-5x}{2x-1}$$

2x-1 ga bo'lish 2x-1 ga ko'paytirishni bekor qiladi.

$$m=\frac{4-5x}{2x-1}$$

x uchun yechish

$$x=\frac{m+4}{2m+5}$$

$$m\neq -\frac{5}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2x-1 ga m+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x=2xm+8x-m-4$$

Ikkala tarafdan 2xm ni ayirish.

$$3x-2xm=8x-m-4$$

Ikkala tarafdan 8x ni ayirish.

$$3x-2xm-8x=-m-4$$

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

$$-5x-2xm=-m-4$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini -5-2m ga bo‘ling.

$$\frac{\left(-2m-5\right)x}{-2m-5}=\frac{-m-4}{-2m-5}$$

-5-2m ga bo'lish -5-2m ga ko'paytirishni bekor qiladi.

$$x=\frac{-m-4}{-2m-5}$$

-m-4 ni -5-2m ga bo'lish.

$$x=\frac{m+4}{2m+5}$$