Resposta:

a) x = 3

b) x = 1

c) x =2

d) x = 3

Explicação passo-a-passo:

[tex]a) 2. ( x- 1 ) - 2. ( x - 2 ) = 1. ( x - 3 ) \\ 2x - 2 - 2x + 2 = 1x - 3 \\ 2x - 2x - 2 + 2 - 1x = - 3 \\ - 1x = - 3 \\ \\ multiplica \: \: por \: \: ( - 1) \\ \\ x = 3 \\ - - - - - - - - - - \\ b) -10 + 2. ( x+5 ) = 2 - 3. ( 2 + 3 x ) + 15 \\ - 10 + 2x + 10 = 2 - 6 - 9x + 15 \\ - 10 + 10 + 2x = 2 - 6 + 15 - 9x \\ 2x = 17 - 6 - 9x \\ 2x =11 - 9x \\ 2x + 9x = 11 \\ 11x = 11\\ x = \frac{11}{11} \\x = 1 \\ \\ - - - - - - - - - - \\ c) 2. ( x - 1 ) =4. ( 2 x + 1 ) - 2 x - 2 \\ 2x - 2 = 8x +4 - 2 x- 2\\ 2x- 8x+2x=4+2-2\\ -8x = 4\\x = \frac{-8}{4} \\ x= -2\\ \\ - - - - - - - - - - \\ d) 2 ( x + 1 ) - 1 ( x - 1 ) = 3 ( 5 - x ) + 6 x \\ 2x + 2 - 1x + 1 = 15 - 3x + 6x \\ 2x - 1x + 2 + 1 = - 3x + 6x+ 15 \\ x + 3 = - 3x + 15 \\ x + 3x = 15 - 3 \\ 4x = 12 \\ \\ x = \frac{12}{4} \\ \\ x = 3[/tex]

Resposta:

Explicação passo a passo:

Resolva as equações do 1° grau

a) 2. ( × - 1 ) - 2. ( × - 2 ) = 1. ( × - 3 )

"2x-2-2x+4= x-3"

"2= x-3"

2+3= x"

"x =5

________

b) -10 + 2. ( ×+5 ) = 2 - 3. ( 2 + 3 × ) + 15

" -10+2x+10= 2 - 6 -9x + 15"

" 2x= 11-9x"

"2x+9x= 11"

"11x= 11"

"X = 1"

________

c) 2. ( × - 1 ) - 4. ( 2 × + 1 ) - 2 × - 2

"2x-2-8x-4-2x-2"

"2x-2x-8x-2-4-2"

"= - 8x - 8 "

d)

2 ( × + 1 ) - 1 ( × - 1 ) = 3 ( 5 - × ) + 6 ×

"2x + 2 - x + 1= 15 - 3x +6x"

"x+3= 15+3x"

"-15+3=3x"

"-12=2x "

" = -12/ 2"

x= - 6"

e)

2. ( 2×- 2) - 3 ( 3 × + 3 ) = 1. ( x + 2 ) + 5

"4x-4-9x-9= x+2+5"

"-5x-13= x+7"

" -13-7= x+5x"

" -20=6x"

" -10= 3X"

" -10 / 3 = X"

"x = -10/3"