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Va rog frumos sa ma ajutati:
Determinati solutiile ecuatiilor:
[tex]a)4(x + 5) - 5(x + 3) = x - 5[/tex]
[tex]b)4x + 1 + 2(x - 5) = 5(x + 1)[/tex]
[tex]c)2(x + 3) - 3(2x + 1) = 8(2x - \\ - 1) - 9[/tex]
[tex]d)3(2x + 3) -2(3x + 2) = \\ = - 3(x + 2) + 2[/tex]
[tex]e) - 3x + 5 - 4(x - 1) = - 2(x + \\ + 1) = 8(2x - 1) - 24[/tex]
[tex]f)x - 15 + 3(x + 1) = 5(x - 2) \\ + 11[/tex]
[tex]g)5(x + 2) - 2(2x + 3) = 34 - 5x[/tex]
Va rog am nevoie plizz☺




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

[tex]4x + 1 + 2x - 10 = 5x + 5[/tex]

[tex]4x + 2x - 5x = 5 - 1 + 10[/tex]

[tex]x = 14[/tex]

[tex]c)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)3(2x + 3) - 2(3x + 2) = - 3(x + 2) + 2[/tex]

[tex]6x + 9 - 6x - 4 = - 3x - 6 + 2[/tex]

[tex]6x - 6x + 3x = - 6 + 2 - 9 + 4[/tex]

[tex]3x = - 9 \: | \div 3[/tex]

[tex]x = - 3[/tex]

[tex]e)-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]

[tex]f)x - 15 + 3(x + 1) = 5(x - 2) + 11[/tex]

[tex]x - 15 + 3x + 3 = 5x - 10 + 11[/tex]

[tex]x + 3x - 5x = - 10 + 11 + 15 - 3[/tex]

[tex] - x = 13 \: | \div ( - 1)[/tex]

[tex]x = - 13[/tex]

[tex]g)5(x + 2) - 2(2x + 3) = 34 - 5x[/tex]

[tex]5x + 10 - 4x - 6 = 34 - 5x[/tex]

[tex]5x - 4x + 5x = 34 - 10 + 6[/tex]

[tex]6x = 30 \: | \div 6[/tex]

[tex]x = 5[/tex]