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\(a,2.\left(x-5\right)-3.\left(x+7\right)=14\)
\(2x-10-3x-21=14\)
\(-x-31=14\)
\(x=-31-14\)
\(x=-45\)
\(b,5.\left(x-6\right)-2\left(x+3\right)=12\)
\(5x-30-2x-6=12\)
\(3x-36=12\)
\(3x=12+36\)
\(3x=48\)
\(x=16\)
\(c,-5.\left(2-x\right)+4.\left(x-3\right)=10.x-15\)
\(-10+5x+4x-12=10x-15\)
\(-6x-22=10x-15\)
\(-6x-10x=-15+22\)
\(-16x=7\)
\(x=-\frac{7}{16}\)
Câu d , e f tương tự nha
1) 2(x - 5) - 3(x + 7) = 14
2x - 10 - 3x - 21 = 14
2x - 3x = 14 + 21 + 10
- x = 45
x = -45
2) 5(x - 6) - 2(x + 3) = 12
5x - 30 - 2x - 6 = 12
3x = 12+ 30 + 6
3x = 48
x = 16
3) -7(5 - x) - 2(x - 10) = 15
-35 + 7x - 2x + 20 = 15
5x = 15 - 20 + 35
5x = 30
x = 6
4) 3(x - 4) - (8 - x) = 12
3x - 12 - 8 + x =12
4x = 12 + 8 + 12
4x = 32
x = 8
5) 4(x - 5) - 3(x + 7) = -19
4x - 20 - 3x - 21 = -19
x = -19 + 21 + 20
x = 22
6) 7(x - 3) - 5(3 - x) = 11x - 5
7x - 21 - 15 + 5x = 11x - 5
7x + 5x - 11x = -5 + 21 + 15
x = 31
7) 4(2 - x) + 3(x - 5) = 14
8 - 4x + 3x - 15 = 14
- x = 14 + 15 - 8
- x = 21
x = -21
a) \(\left(3^2-2\right).\left(x-12+35\right)\)\(=\)\(5^2+279:5\)
\(7.\left(x-12+35\right)=80,8\)
\(x-12+35=80,8:7\)
\(x-12+35=\frac{404}{35}\)
\(x-12=\frac{404}{35}-35\)
\(x-12=\frac{-821}{35}\)
\(x=\frac{-821}{35}+12\)
\(x=\frac{-401}{35}\)
b) \(260:\left(x+4\right)\)\(=\)\(5\left(2^3+5\right)-3\left(3^2+2^2\right)\)
\(260:\left(x+4\right)=26\)
\(x+4=260:26\)
\(x+4=10\)
\(x=10-4\)
\(x=6\)
c) \(7^{x-3}=343\)
\(7^x:7^3=343\)
\(7^x=343.7^3\)
\(7^x=117649\)
vì \(117649=7^6\Rightarrow x=6\)
d) \(\left(x-3\right)^{2017}=\left(x-3\right)^{2016}\)
\(\Rightarrow\hept{\begin{cases}x-3=1\\x-3=0\end{cases}\Rightarrow\hept{\begin{cases}x=4\\x=3\end{cases}}}\)
e) \(\left(2^3+3\right).\left(x-5\right)+14\)\(=\)\(5^2+124:2^2\)
\(\left(2^3+3\right).\left(x-5\right)+14=56\)
\(\left(2^3+3\right).\left(x-5\right)=56-14\)
\(\left(2^3+3\right).\left(x-5\right)=42\)
\(x-5=42:\left(2^3+3\right)\)
\(x-5=\frac{42}{11}\)
\(x=\frac{42}{11}+5\)
\(x=\frac{97}{11}\)