What rule/property?
Distribute it
Undo it
1st step
Solve this equation
100

We use this rule to undo subtraction

The addition rule of equality

100

2(3 + 5)

6 + 10

100

+ 12

-12

100

5x - 12 = 24

add 12 on both sides

100

x - 32 = 90

x = 122

200

we use this rule to undo addition

the subtraction rule of equality

200

3(2x + 3)

6X + 9

200

x - 32

+ 32

200

4x + 17 = 20

subtract 17 on both sides

200

x - 70 = 20

x = 90

300

we use this rule to undo multiplication

the division rule of equality

300

-4(5 + 2x)

-20 - 8x

300

13x

divide by 13

300

12x - 4x + 14 = 23

combine like terms

300

12x = 96

x = 8

400

we use this rule to undo division

the multiplication rule of equality

400

7(5x - 7)

35x - 49

400

see the board for this equation

multiply by 4

400

17x = 45

divide by 17 on both sides

400

13x + 32 = 245

x = 16.38

500

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.

500

-8(-3 - 4x)

24 + 32x

500

see the board for this equation

flip the fraction and then multiply

500

see board for this equation

multiply both sides by 3

500

see board for this equation

x = 81