Question

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

Answer 1

$a)4(x + 5) - 5(x + 3) = x - 5$

$4x + 20 - 5x - 15 = x - 5$

$4x - 5x - x = - 5 - 20 + 15$

$- 2x = - 10 \: | \div ( - 2)$

$x = 5$

$b)4x + 1 + 2(x - 5) = 5(x + 1)$

$4x + 1 + 2x - 10 = 5x + 5$

$4x + 2x - 5x = 5 - 1 + 10$

$x = 14$

$c)2(x + 3) - 3(2x + 1) = 8(2x - 1) - 9$

$2x + 6 - 6x - 3 = 16x - 8 - 9$

$2x - 6x - 16x = - 8 - 9 - 6 + 3$

$- 20x = - 20 \: | \div ( - 20)$

$x = 1$

$d)3(2x + 3) - 2(3x + 2) = - 3(x + 2) + 2$

$6x + 9 - 6x - 4 = - 3x - 6 + 2$

$6x - 6x + 3x = - 6 + 2 - 9 + 4$

$3x = - 9 \: | \div 3$

$x = - 3$

$e)-3x+5-4(x-1)=-2(x+1)-24$

$-3x+5-4x+4=-2x-2-24$

$-3x-4x+2x=-2-24-5-4$

$-5x=-35 |\div(-5)$

$x=7$

$f)x - 15 + 3(x + 1) = 5(x - 2) + 11$

$x - 15 + 3x + 3 = 5x - 10 + 11$

$x + 3x - 5x = - 10 + 11 + 15 - 3$

$- x = 13 \: | \div ( - 1)$

$x = - 13$

$g)5(x + 2) - 2(2x + 3) = 34 - 5x$

$5x + 10 - 4x - 6 = 34 - 5x$

$5x - 4x + 5x = 34 - 10 + 6$

$6x = 30 \: | \div 6$

$x = 5$