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a) (x-32).45=0
( x - 32 ) = 0 : 45
( x -32 ) = 0
x = 0 + 32
x = 32
b) 25.(52-x)=25
( 52 - x ) = 25 : 25
( 52 - x ) = 1
=> x = 52 - 1 = 51
c) 231+(312-x)=531
( 312 - x ) = 531 - 231
( 312 - x ) = 300
x = 312 - 300
x = 12
d) ( 7x-15):3=2
( 7x - 15 ) = 2x 3
( 7x - 15 ) = 6
7x = 6 + 15
7x = 21
=> x = 21 :7
x = 3
a. \(678\times\left(276+49\right)-678\times\left(149+76\right)\)
\(=678\times\left[\left(276+49\right)-\left(149+76\right)\right]\)
\(=678\times\left(276+49-149-76\right)\)
\(=678\times\left(200-100\right)\)
\(=67800\)
b. \(23\times157+15\times46-28\times87\)
\(=3611+690-2436\)
\(=1865\)
c. \(12:\left\{390:\left[500-\left(125+35\times7\right)\right]\right\}\)
\(=12:\left\{390:\left[500-\left(125+245\right)\right]\right\}\)
\(=12:\left\{390:\left[500-370\right]\right\}\)
\(=12:\left\{390:130\right\}\)
\(=12:3\)
\(=4\)
xxx+xx+x+x+x+1=101
125x+1=101
125x=101-1
125x=100
x=100/125
x=0,8
xxx + xx + x + x + x + 1 = 101
125x + 1 = 101
125x = 101 - 1 = 100
x = 100 : 125 = 100 / 25
x = 0,8
1: =354(4+5+1)-350
=3540-350
=3190
2:
a: 19040:x=340
=>x=19040/340=56
b: x-3678=2541*4
=>x-3678=10164
=>x=10164+3678=13842
c: x*282-270*x=1512
=>12x=1512
=>x=126
d: =>(177-96+21):x=6
=>102:x=6
=>x=102/6=17
180 : ( 18 x 5 )
= 180 : 90
= 2
b) 240 : ( 2 x 3 x 4 )
= 240 : 24
= 10
c) 4400 : ( 22 x 35 )
= 4400 : 770
= \(\dfrac{40}{7}\)
a)
(1/3-1/5)x1/4 = 1/3x1/4-1/5x1/4=1/12-1/20=1/30
(1/3-1/5)x1/4 = 2/15x1/4=1/30
b)
2/5 x 3/7 + 2/5 x 4/7= 6/35 + 8/35 = 14/35 = 2/5
2/5 x 3/7 + 2/5 x 4/7= (3/7+4/7) x 2/5 = 1 x 2/5 = 2/5
a, x = 231 + 312
x = 543
b, x = 347 - 134
x = 213
c, x = 157 - 64
x = 93
d, x = 354 : 6
x = 59
x - 312 = 231
x = 231 + 312
x = 543
b, 347 - x = 134
x = 347 - 134
x = 213
c, x + 64 = 157
x = 157 - 64
x =93
d, X x 6 = 354
X = 354: 6
x = 59