3.1: Combining Like Terms
3x-6x=
-3x
5x+5
x+6=3
x= -3
3x= -9
x= -3
The inverse (or opposite) operation of subtraction
4x+2-3x=
x+2
(5x-6) + (5x-6)=
10x-12
x-8= -2
x=6
-4x = -20
x= 5
The inverse (or opposite) operation of addition
Subtraction
2(3x-3)=
6x-6
(6x+3) - (2x-2)=
4x+5
8= x+2
x=6
1/3x = 2/5
x= 6/5
The inverse (or opposite) operation of multiplication
Division
4(2x-4)=
8x-16
-3(3-4x)-6x =
-9+6x
1/3 + x = 3/4
x= 5/12
x/4 = 12
x=48
The inverse (or opposite) operation of division
Multiplication
-2(x+2)-5=
-2x-9
2(4x-6)-3x+5 =
5x-7
- 5/2 = x - 9/2
x=2
x/2 = -5
x= -10
Find the reciprocal (or opposite) of 3/5.
5/3