What rule/property?
We use this rule to undo subtraction
The addition rule of equality
2(3 + 5)
6 + 10
+ 12
-12
5x - 12 = 24
add 12 on both sides
x - 32 = 90
x = 122
we use this rule to undo addition
the subtraction rule of equality
3(2x + 3)
6X + 9
x - 32
+ 32
4x + 17 = 20
subtract 17 on both sides
x - 70 = 20
x = 90
we use this rule to undo multiplication
the division rule of equality
-4(5 + 2x)
-20 - 8x
13x
divide by 13
12x - 4x + 14 = 23
combine like terms
12x = 96
x = 8
we use this rule to undo division
the multiplication rule of equality
7(5x - 7)
35x - 49
see the board for this equation
multiply by 4
17x = 45
divide by 17 on both sides
13x + 32 = 245
x = 16.38
what property is being used in this equation and why?
4(x - 2)
distributive property, because we can figure out what x minus 2 is we have to multiply both parts by 4 to be able to continue to solve for x.
-8(-3 - 4x)
24 + 32x
see the board for this equation
flip the fraction and then multiply
see board for this equation
multiply both sides by 3
see board for this equation
x = 81