Algebra Equations with Variables on Both Sides

To solve equations like this one with variables on both sides you need to use...

• ...only the order of operations PEMDAS.

• ...only the reverse order of operations SADMEP.

• ...BOTH the order of operations PEMDAS and the reverse order of operations SADMEP.

Summarize the steps to solve the equation.

• 1) combine like terms; inverse - with +

  2) inverse + with -

  3) inverse ÷ with ⋅

• 1) combine like terms; inverse + with -

  2) inverse - with +

  3) inverse ⋅ with ÷

What is the next step to solve for x?

• + 6x to both sides; 9x + 10 = 40

• + 6x to both sides; 3x + 10 = 40

• - 6x to both sides; -9x + 10 = 40

• - 6x to both sides; -3x + 10 = 40

What is the next step to solve for x?

• ⋅ 3 to both sides; x = 90

• ÷ 3 to both sides; x = 10

Summarize the steps to solve the equation.

• 1) combine like terms; inverse - with +

  2) inverse + with -

  3) inverse ⋅ with ÷

• 1) combine like terms; inverse + with -

  2) inverse - with +

  3) inverse ÷ with ⋅

Which of the following is NOT a possible 1st step?

• Inverse + 10 with - 10

• Distribute -2 to both 2x and - 7

• Inverse ÷ 5 with ⋅ 5

• Inverse + 17 with - 17

What is the next step to solve for x?

• x/5 + 10 = 10x + 17

• x/5 + 10 = -4x + 21

• x/5 + 10 = -4x + 31

• x/5 + 10 = 27x

What is the next step to solve for x?

• x/5 = -4x + 41

• x/5 = -4x + 21

What is the next step to solve for x?

• 21x = 105

• 19x = 105

What is the value of x?

• x = 105

• x = 5

• x = 10

• x = ?