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Determinati solutiile ecuatiilor
a) 4(x+5)-5(x+3)=x-5
b) 2(x+3)-3(2x+1)=8(2x-1)-9
c) 3(2x+3)-2(3x+2)+2
d) -3x+5-4(x-1)=-2(x+1)-24


Răspuns :

[tex]a)4(x + 5) - 5(x + 3) = x - 5[/tex]

[tex]4x + 20 - 5x- 15 = x - 5[/tex]

[tex]4x - 5x - x = - 5 - 20 + 15[/tex]

[tex] - 2x = - 10 \: | \div ( - 2)[/tex]

[tex]x = 5[/tex]

[tex]b)2(x + 3) - 3(2x + 1) = 8(2x - 1) - 9[/tex]

[tex]2x + 6 - 6x - 3 = 16x - 8 - 9[/tex]

[tex]2x - 6x - 16x = - 8 - 9 - 6 + 3[/tex]

[tex] - 20x = - 20 \: | \div ( - 20)[/tex]

[tex]x = 1[/tex]

[tex]d) - 3x + 5 - 4(x - 1) = - 2(x + 1) - 24[/tex]

[tex] - 3x + 5 - 4x + 4 = - 2x - 2 - 24[/tex]

[tex] - 3x - 4x + 2x = - 2 - 24 - 5 - 4[/tex]

[tex] - 5x = - 35 \: | \div ( - 5)[/tex]

[tex]x = 7[/tex]