Question

resolva as seguintes equações:

a) x + 2x - 1 - 3 = x
b) -3x + 10 = 2x + 8 + 1
c) 5x - 5 + x = 9 + x
d) 7x - 4 - x = -7x + 6x + 15
e) 3x - 2x = 3x + 2
f) 2 - 4x = 32 - 18x + 12
g) 2x - 1 = -3 + x + 4

Answer 1

a) x+2x-1-3=x
3x-4=x
3x-x=4
2x=4
x=$\frac{4}{2}$ ⇒x=2

b)-3x+10=2x+8+1
10-9=2x+3x
1=5x
$\frac{1}{5}$=x

c)5x-5+x=9+x
6x-5=9+x
6x-x=9+5
5x=14
x=$\frac{14}{5}$

d)7x-4-x=-7x+6x-15
6x-4=-x-15
6x+x=-15+4
7x=-11
x=$\frac{-11}{7}$

e)3x-2x=3x+2
x=3x+2
-2=3x-x
-2=2x
$\frac{-2}{2} = x$ ⇒ -1=x

f)2-4x=32-18x+12
-4x+18x=32+12-2
14x=42
x=$\frac{42}{14}$ ⇒ x= 3

g)2x-1=-3+x+4
2x-x=-3+4+1
x=2