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7\times \frac{6\times 3+2}{3}+7x\left(-8\right)=-x\left(42\times 7+5\right)+7x\left(-3\right)
x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 7x ga, x,7 ning eng kichik karralisiga ko‘paytiring.
7\times \frac{18+2}{3}+7x\left(-8\right)=-x\left(42\times 7+5\right)+7x\left(-3\right)
18 hosil qilish uchun 6 va 3 ni ko'paytirish.
7\times \frac{20}{3}+7x\left(-8\right)=-x\left(42\times 7+5\right)+7x\left(-3\right)
20 olish uchun 18 va 2'ni qo'shing.
\frac{7\times 20}{3}+7x\left(-8\right)=-x\left(42\times 7+5\right)+7x\left(-3\right)
7\times \frac{20}{3} ni yagona kasrga aylantiring.
\frac{140}{3}+7x\left(-8\right)=-x\left(42\times 7+5\right)+7x\left(-3\right)
140 hosil qilish uchun 7 va 20 ni ko'paytirish.
\frac{140}{3}-56x=-x\left(42\times 7+5\right)+7x\left(-3\right)
-56 hosil qilish uchun 7 va -8 ni ko'paytirish.
\frac{140}{3}-56x=-x\left(294+5\right)+7x\left(-3\right)
294 hosil qilish uchun 42 va 7 ni ko'paytirish.
\frac{140}{3}-56x=-x\times 299+7x\left(-3\right)
299 olish uchun 294 va 5'ni qo'shing.
\frac{140}{3}-56x=-x\times 299-21x
-21 hosil qilish uchun 7 va -3 ni ko'paytirish.
\frac{140}{3}-56x+x\times 299=-21x
x\times 299 ni ikki tarafga qo’shing.
\frac{140}{3}+243x=-21x
243x ni olish uchun -56x va x\times 299 ni birlashtirish.
\frac{140}{3}+243x+21x=0
21x ni ikki tarafga qo’shing.
\frac{140}{3}+264x=0
264x ni olish uchun 243x va 21x ni birlashtirish.
264x=-\frac{140}{3}
Ikkala tarafdan \frac{140}{3} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
x=\frac{-\frac{140}{3}}{264}
Ikki tarafini 264 ga bo‘ling.
x=\frac{-140}{3\times 264}
\frac{-\frac{140}{3}}{264} ni yagona kasrga aylantiring.
x=\frac{-140}{792}
792 hosil qilish uchun 3 va 264 ni ko'paytirish.
x=-\frac{35}{198}
\frac{-140}{792} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.