(x-3/10)*8/7=(105-x)+3/10 eching

$$(x- \frac{ 3 }{ 10 } ) \times \frac{ 8 }{ 7 } =(105-x)+ \frac{ 3 }{ 10 }$$

x uchun yechish

$$x = \frac{493}{10} = 49\frac{3}{10} = 49,3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x-\frac{3}{10} ga \frac{8}{7} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x\times \frac{8}{7}-\frac{3}{10}\times \frac{8}{7}=105-x+\frac{3}{10}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{3}{10} ni \frac{8}{7} ga ko‘paytiring.

$$x\times \frac{8}{7}+\frac{-3\times 8}{10\times 7}=105-x+\frac{3}{10}$$

\frac{-3\times 8}{10\times 7} kasridagi ko‘paytirishlarni bajaring.

$$x\times \frac{8}{7}+\frac{-24}{70}=105-x+\frac{3}{10}$$

\frac{-24}{70} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x\times \frac{8}{7}-\frac{12}{35}=105-x+\frac{3}{10}$$

105 ni \frac{1050}{10} kasrga o‘giring.

$$x\times \frac{8}{7}-\frac{12}{35}=\frac{1050}{10}-x+\frac{3}{10}$$

\frac{1050}{10} va \frac{3}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$x\times \frac{8}{7}-\frac{12}{35}=\frac{1050+3}{10}-x$$

1053 olish uchun 1050 va 3'ni qo'shing.

$$x\times \frac{8}{7}-\frac{12}{35}=\frac{1053}{10}-x$$

x ni ikki tarafga qo’shing.

$$x\times \frac{8}{7}-\frac{12}{35}+x=\frac{1053}{10}$$

\frac{15}{7}x ni olish uchun x\times \frac{8}{7} va x ni birlashtirish.

$$\frac{15}{7}x-\frac{12}{35}=\frac{1053}{10}$$

\frac{12}{35} ni ikki tarafga qo’shing.

$$\frac{15}{7}x=\frac{1053}{10}+\frac{12}{35}$$

10 va 35 ning eng kichik umumiy karralisi 70 ga teng. \frac{1053}{10} va \frac{12}{35} ni 70 maxraj bilan kasrlarga aylantirib oling.

$$\frac{15}{7}x=\frac{7371}{70}+\frac{24}{70}$$

\frac{7371}{70} va \frac{24}{70} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{15}{7}x=\frac{7371+24}{70}$$

7395 olish uchun 7371 va 24'ni qo'shing.

$$\frac{15}{7}x=\frac{7395}{70}$$

\frac{7395}{70} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{15}{7}x=\frac{1479}{14}$$

Ikki tarafini \frac{7}{15} va teskari kasri \frac{15}{7} ga ko‘paytiring.

$$x=\frac{1479}{14}\times \frac{7}{15}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1479}{14} ni \frac{7}{15} ga ko‘paytiring.

$$x=\frac{1479\times 7}{14\times 15}$$

\frac{1479\times 7}{14\times 15} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{10353}{210}$$

\frac{10353}{210} ulushini 21 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{493}{10}$$