Solving Equations with Variables on One Side

distribute

combine like terms

inverse operation

13x and -9x

13x and 20

30 and 2

Add 20

Subtract 20

Multiply by 4

Divide by 4

Divide by 4

Subtract 4

Multiply by 4

inverse operations

Combine like terms

distribute

first subtract 12 and then divide by 4

first add 12 and then subtract 4

first add 12 and then divide by 4

combine like terms

distribute

inverse operations

x=5

x=28

x=-5

x=-28

isolate the variable.

check the solution.

guess and check.

Combine Like Terms.

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

Negative signs can be ignored

Always start on the left side, regardless of where the variable is

Always do the opposite operation

add 4 to both sides

distribute the 4

subtract 4 to both sides

subtract 12 to both sides

-6x - 8 = 10

-6x + 8 = 10

-5x - 6 = 10

-5x + 6 = 10

Combine Like Terms

Add 3 on both sides

Divide by 2 on both sides

Subtract 4x from both sides

x = 7/3

x = -5

x = 5

x = -7/3

$$a\ =\ 0$$  

$$a\ =\ 1$$  

$$a\ =\ -1$$  

None of these

9

$$-7$$  

6

2

$$12$$  

$$8$$  

$$-4$$  

$$9$$