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a) 8x + ( 2+5+7+12+19+31+50+81) = 447
8x + 207 = 447
8x = 447 - 207 = 240
x = 240 : 8 = 30
b) 10x + [( 21 + 3 ) x 10 : 2 ] = 335
10x + 120 = 335
10x = 335 - 120 = 215
x = 215 : 10
x = 21,5
a) -12. (x-5) + 7. ( 3-x ) = 5
=> -12x + 60 + 21 - 7x = 5
=> -19x = -76
=> x= 4
b) 30. (x+2) -6. (x-5 ) -24x =100
=> 30x + 60 - 6x + 30 -24x = 100
=> 0x = 10 (vô lí )
=> ko có giá trị của x
-12.(x-5)+7.(3-x)=5
(-12).x-(-12).5+7.3-7.x=5
(-12).x-(-60)+21-7.x=5
(-12).x+60+21-7.x=5
(-12).x+(60+21)-7.x=5
(-12).x+81-7.x=5
(-12).x-7.x=5-81
-19.x=-76
x=76:(-19)
x=4
1, Ta có :
\(x+\frac{3}{5}=\frac{4}{7}\div\frac{8}{21}\)
\(x+\frac{3}{5}=\frac{4}{7}\times\frac{21}{8}\)
\(x+\frac{3}{5}=\frac{3}{2}\)
\(x=\frac{3}{2}-\frac{3}{5}\)
\(x=\frac{15}{10}-\frac{6}{10}\)
\(x=\frac{9}{10}\)
Vậy x = \(\frac{9}{10}\)
2, Ta có :
\(\frac{2}{3}+\frac{3}{4}\div x=-\frac{1}{6}\)
\(\frac{3}{4}\div x=-\frac{1}{6}-\frac{2}{3}\)
\(\frac{3}{4}\div x=-\frac{1}{6}-\frac{4}{6}\)
\(\frac{3}{4}\div x=-\frac{5}{6}\)
\(x=\frac{3}{4}\div\left(-\frac{5}{6}\right)\)
\(x=\frac{3}{4}\times\left(-\frac{6}{5}\right)\)
\(x=-\frac{9}{10}\)
Vậy x = \(-\frac{9}{10}\)
\(1+3+5+......+x=2500\)
\(\Rightarrow\left[\left(x-1\right):2+1\right].\left(x+1\right):2=2500\)
\(\Rightarrow\left(\frac{x}{2}-\frac{1}{2}+1\right).\left(x+1\right)=2500.2\)
\(\Rightarrow\left(\frac{x}{2}+\frac{1}{2}\right).\left(x+1\right)=5000\)
\(\Rightarrow\frac{x^2}{2}+\frac{1}{2}x+\frac{x}{2}+\frac{3}{2}=5000\)
\(\Rightarrow\frac{x^2+x+x+3}{2}=5000\)
\(\Rightarrow x^2+2x+3=5000.2\)
\(\Rightarrow x^2+2x.1+1^2+3-1^2=10000\)
\(\Rightarrow\left(x+1\right)^2+2=10000\)
\(\Rightarrow\left(x+1\right)^2=10000-2\)
\(\Rightarrow\left(x+1\right)^2=9998\)
\(\Rightarrow x+1=\sqrt{9998}\)
\(\Rightarrow x=\sqrt{9998}-1\)
1.
2|x-6|+7x-2=|x-6|+7x
2|x-6| - |x-6|=7x-(7x-2)
|x-6| = 2
=>x-6 = +2
*x-6=2 *x-6 = -2
x =2+6 x = (-2)+6
x =8 x = 4
2.
|x-5|-7(x+4)=5-7x
|x-5|-7x-28 =5-7x
|x-5|-28 =5-7x+7x
|x-5|-28 = 5
|x-5| = 5+28
|x-5| = 33
=>x-5 = +33
*x-5=33 *x-5=-33
x =38 x = -28
3.
3|x+4|-2(x-1)=7-2x
3|x+4|-2x+2 =7-2x
3|x+4|-2 =7-2x+2x
3|x+4|-2 =7
3|x+4| =7+2
3|x+4| = 9
|x+4| =9:3
|x+4| = 3
=>x+4 = +3
*x+4=3 *x+4=-3
x =-1 x = -7
Ta có : (x + 3) + (x + 5) + (x + 7) + ..... + (x + 21) = 335
=> x + x + x + x + (3 + 5 + 7 + ..... + 21) = 335
=> 10x + 120 = 335
=> 10x = 335 - 120
=> 10x = 215
=> x = 21,5
ta có : (x + 3) + (x + 5) + (x + 7) + ..... + (x + 21) = 335
<=> x + x + x + x + (3 + 5 + 7 + ..... + 21) = 335
<=> 10x + 120 = 335
=> 10x = 335 - 120
=> 10x = 215
vậy x = 21,5