Solve the following linear equations using simple operations.
-2x - 3 = 11
Consider the equation:
-2x-3=11
Add 3 to both sides:
-2x=14
Divide both sides by -2:
x=\dfrac{14}{-2}
x=-7
The solution is x = -7.
3x + 2 = 17
Consider the equation:
3x+2=17
Subtract 2 from both sides:
3x=15
Divide both sides by 3:
x = \dfrac {15} {3}
x = 5
The solution is x=5.
-4x+1=-3
Consider the equation:
-4x+1=-3
Subtract 1 from both sides:
-4x = -4
Divide both sides by -4:
x = \dfrac {-4} {- 4}
x = 1
The solution is x=1.
5x-2 = 18
Consider the equation:
5x-2=18
Add 2 to both sides:
5x=20
Divide both sides by 5:
x = \dfrac {20} {5}
x =4
The solution is x=4.
-2x-10 = 4
Consider the equation:
-2x-10 = 4
Add 10 to both sides:
-2x=14
Divide both sides by -2:
x=\dfrac{14}{-2}
x=-7
The solution is x=-7
6x-3 = 15
Consider the equation:
6x-3 = 15
Add 3 to both sides:
6x = 18
Divide both sides by 6:
x = \dfrac {18} {6}
x =3
The solution is x=3
-x-1 = -4
Let's solve the equation:
-x-1 = -4
Add 1 to both sides:
-x=-3
Divide both sides by -1:
x = \dfrac {-3} {- 1}
x =3
The solution is x=3.