50*20%=(50+x)*5% eching

$$50 \times 20 \% =(50+x) \times 5 \%$$

x uchun yechish

$$x=150$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{20}{100} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$50\times \frac{1}{5}=\left(50+x\right)\times \frac{5}{100}$$

\frac{50}{5} hosil qilish uchun 50 va \frac{1}{5} ni ko'paytirish.

$$\frac{50}{5}=\left(50+x\right)\times \frac{5}{100}$$

10 ni olish uchun 50 ni 5 ga bo‘ling.

$$10=\left(50+x\right)\times \frac{5}{100}$$

\frac{5}{100} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$10=\left(50+x\right)\times \frac{1}{20}$$

50+x ga \frac{1}{20} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10=50\times \frac{1}{20}+x\times \frac{1}{20}$$

\frac{50}{20} hosil qilish uchun 50 va \frac{1}{20} ni ko'paytirish.

$$10=\frac{50}{20}+x\times \frac{1}{20}$$

\frac{50}{20} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$10=\frac{5}{2}+x\times \frac{1}{20}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{5}{2}+x\times \frac{1}{20}=10$$

Ikkala tarafdan \frac{5}{2} ni ayirish.

$$x\times \frac{1}{20}=10-\frac{5}{2}$$

10 ni \frac{20}{2} kasrga o‘giring.

$$x\times \frac{1}{20}=\frac{20}{2}-\frac{5}{2}$$

\frac{20}{2} va \frac{5}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$x\times \frac{1}{20}=\frac{20-5}{2}$$

15 olish uchun 20 dan 5 ni ayirish.

$$x\times \frac{1}{20}=\frac{15}{2}$$

Ikki tarafini 20 va teskari kasri \frac{1}{20} ga ko‘paytiring.

$$x=\frac{15}{2}\times 20$$

\frac{15}{2}\times 20 ni yagona kasrga aylantiring.

$$x=\frac{15\times 20}{2}$$

300 hosil qilish uchun 15 va 20 ni ko'paytirish.

$$x=\frac{300}{2}$$

150 ni olish uchun 300 ni 2 ga bo‘ling.

$$x=150$$