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Вправа 873 алгебра Бевз гдз 7 клас

№ 873 $$
\begin{aligned}
& \text { a) } \frac{2 x-3}{3}+\frac{x-1}{2}=\frac{5 x-3}{6} \\
& (2 x-3) \cdot 2+3 \cdot(x-1)=5 x-3 \\
& 4 x-6+3 x-3=5 x-3 \\
& 7 x-5 x=-3+9 \\
& 2 x=6 \\
& x=3
\end{aligned}
$$
$$
\begin{aligned}
& \text { б) } \frac{3 x+1}{4}-\frac{2 x-4}{3}=3-\frac{7-x}{2} \\
& 3(3 x+1)-4(2 x-4)=3 \bullet 12-6(7-x) \\
& 9 x+3-8 x+16=36-42+6 x \\
& x+19=6 x-6 \\
& 6 x-x=19+6 \\
& 5 x=25 \\
& x=5
\end{aligned}
$$
$$
\begin{aligned}
& \text { в) } \frac{2-3 x}{3}+\frac{6 x+1}{5}=\frac{x-4}{4} \\
& 10(2-3 x)+4(6 x+1)=5(x-4) \\
& 20-30 x+24+4=5 x-20 \\
& -6 x-5 x=-20-24 \\
& -11 x=-44 \\
& x=-44:(-11) \\
& x=4
\end{aligned}
$$ г) $$\frac{x+6}{5}-\frac{5-2 x}{3}=2 x-\frac{3 x-2}{2}$$ домножимо на 30 $$
\begin{aligned}
& 6 \cdot(x+6)-10(5-2 x)=30 \cdot 2 x-15(3 x-2) \\
& 6 x+36-50+20 x=60 x-45 x+30 \\
& 26 x-14=15 x+30 \\
& 26 x-15 x=30+14 \\
& 11 x=44 \\
& x=4
\end{aligned}
$$

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