7x-16=145
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`a)145×16+145×83+123×22`
`=145xx(16+83)+123xx22`
`=145xx99+123xx22`
`=145xx9xx11+123xx2xx11`
`=1305xx11+246xx11`
`=(1305+246)xx11`
`=1551xx11`
`=`\(17061\)
\(3x+36=-7x-64\)
\(10x=-100\)
\(x=-10\)
\(-5x-178=14x+145\)
\(-19x=323\)
\(x=-17\)
1: \(=-145\cdot13+145\cdot57+57\cdot10-57\cdot145=-1315\)
2: \(=17\cdot15-17\cdot16+16\cdot17-16\cdot20=255-320=-65\)
3: \(=-38\cdot25+38\cdot4-25\cdot4+25\cdot38=13\cdot4=52\)
4: \(=23\cdot145-23\cdot17-145\cdot23+145\cdot6=479\)
5: \(=24\cdot15-24\cdot4+4\cdot24-4\cdot15=360-60=300\)
6: \(=199\left(15-17+17-5\right)=199\cdot10=1990\)
7: \(=-39\cdot5+39\cdot99+99\cdot10-99\cdot39=795\)
a) \(7\times\left(18-a\right)-56=7\)
\(7\times\left(18-a\right)=7+56\)
\(7\times\left(18-a\right)=63\)
\(18-a=63:7\)
\(18-a=9\)
\(a=18-9\)
\(a=9\)
______
b) \(145-5\times\left(a+8\right)=25\)
\(5\times\left(a+8\right)=145-25\)
\(5\times\left(a+8\right)=120\)
\(a+8=120:5\)
\(a+8=24\)
\(a=24-8\)
\(a=16\)
21 765 - 4 x 25 + 75 = 21 765 - 100 + 75 = 21 740
125 x 4 - 25 + 3 619 = 125 x 3 598 = 449 750
145 - 45 : 9 + 32 = 145 - 5 + 32 = 172
145 x 78 + 22 x 145 + 145 = 145 x ( 78 + 22 ) + 145 = 145 x 100 + 145 = 14 500 +145 = 14 645
...
7x - 7 = 343 4 305 : 5x = 21
7x = 343 + 7 5x = 4 305 : 21
7x = 350 5x = 205
x = 350 : 7 x = 205 : 5
x = 50 x = 41
\(7x-16=145\\ =>7x=145+16\\ =>7x=161\\ =>x=161:7=23\)
\(7x-16=145\)
\(\Rightarrow7x=145+16\)
\(\Rightarrow7x=161\)
\(\Rightarrow x=161:7\)
\(\Rightarrow x=23\)