Rozwiąż równania:
a) 4 (1- 3/4x)=34
b)9* x+2/3=x-5
c)4 (5+2x)=6 (2x-4)
d)5 (-2x-2/5)+7=25-6x
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a) 4 (1- 3/4x)=34
4 - 3x = 34
-3x = 34 - 4
-3x = 30 /:(-3)
x =- 10
b)9* x+2/3=x-5
3(x+2) = x - 5
3x + 6 = x -5
3x - x = -5 - 6
2x = -11 /:2
x = - 5 1/2
c)4 (5+2x)=6 (2x-4)
20 + 8x = 12x - 24
8x - 12x = -24 - 20
-4x = -44 /:(-4)
x = 11
d)5 (-2x-2/5)+7=25-6x
-10x - 2 + 7 = 25 - 6x
-10x + 6x = 25 +2 - 7
-4x = 20 /:(-4)
x = -5
a)![4(1-\frac{3}{4x})=34\\4-\frac{3}{x}=34|*x\\4-3=34x|:34\\x=\frac{1}{34} 4(1-\frac{3}{4x})=34\\4-\frac{3}{x}=34|*x\\4-3=34x|:34\\x=\frac{1}{34}](https://tex.z-dn.net/?f=4%281-%5Cfrac%7B3%7D%7B4x%7D%29%3D34%5C%5C4-%5Cfrac%7B3%7D%7Bx%7D%3D34%7C%2Ax%5C%5C4-3%3D34x%7C%3A34%5C%5Cx%3D%5Cfrac%7B1%7D%7B34%7D)
b)![9*\frac{x+2}{3}=x-5\\3x+6=x-5|-x\\2x+6=-5|-6\\2x=-11|:2\\x=-5\frac{1}{2} 9*\frac{x+2}{3}=x-5\\3x+6=x-5|-x\\2x+6=-5|-6\\2x=-11|:2\\x=-5\frac{1}{2}](https://tex.z-dn.net/?f=9%2A%5Cfrac%7Bx%2B2%7D%7B3%7D%3Dx-5%5C%5C3x%2B6%3Dx-5%7C-x%5C%5C2x%2B6%3D-5%7C-6%5C%5C2x%3D-11%7C%3A2%5C%5Cx%3D-5%5Cfrac%7B1%7D%7B2%7D)
c)![4(5+2x)=6(2x-4)\\20+8x=12x-24|-8x\\20=4x-24|+24\\44=4x|:4\\x=11 4(5+2x)=6(2x-4)\\20+8x=12x-24|-8x\\20=4x-24|+24\\44=4x|:4\\x=11](https://tex.z-dn.net/?f=4%285%2B2x%29%3D6%282x-4%29%5C%5C20%2B8x%3D12x-24%7C-8x%5C%5C20%3D4x-24%7C%2B24%5C%5C44%3D4x%7C%3A4%5C%5Cx%3D11)
d)![5(-2x-\frac{2}{5})+7=25-6x\\-10x-2+7=25-6x|-5\\-10x=20-6x|+6x\\-4x=20|:(-4)\\x=-5 5(-2x-\frac{2}{5})+7=25-6x\\-10x-2+7=25-6x|-5\\-10x=20-6x|+6x\\-4x=20|:(-4)\\x=-5](https://tex.z-dn.net/?f=5%28-2x-%5Cfrac%7B2%7D%7B5%7D%29%2B7%3D25-6x%5C%5C-10x-2%2B7%3D25-6x%7C-5%5C%5C-10x%3D20-6x%7C%2B6x%5C%5C-4x%3D20%7C%3A%28-4%29%5C%5Cx%3D-5)