Question

Resolva as equações de primeiro grau encontrando o valor do x.
A)2×+1+5(×-3)=3(×+1)+×
B) 2×-1=×+5
C) 2(×+6)=4(×+2)
D) 10-2(×+3)=8+3(2×+5)

Answer 1

A) 2x+1-15x=3x+3+x<=> 1-3=-2x+15x+3x+x<=> -2=13x+4x<=> -2=17x<=> x=-2/17

B) 2x-x=1+5<=> x=6
C) 2x+12= 4x+8<=> 12-8=4x-2x<=> 4=2x<=>x=4/2<=> x=2
D) 10-2x-6=8+6x+15<=> 10-8-6-15=2x+6x<=> 2-6-15=8x<=> -4-15=8x<=> -19/8=x

Answer 2

Resposta:

A)

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

2x + 1 + 5x - 15 = 3x + 3 + x

Agrupe os termos semelhantes:

2x + 5x - 3x - x = 3 - 1 + 15

3x = 17

x = 17/3

B)

2x - 1 = x + 5

2x - x = 5 + 1

x = 6

C)

2(x + 6) = 4(x + 2)

2x + 12 = 4x + 8

4x + 8 = 2x + 12

4x - 2x = 12 - 8

2x = 4

x = 4/2

x = 2

D)

10 - 2(x + 3) = 8 + 3(2x + 5)

10 - 2x - 6 = 8 + 6x + 15

8 + 6x + 15 = 10 - 2x - 6

6x + 2x = 10 - 6 - 8 - 15

8x = - 19

x = - 19/8