Question

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

Answer 1

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

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

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

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

$x = 5$

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

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

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

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

$x = 1$

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

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

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

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

$x = 7$