Solving Equations Like Terms and Variables on Both Sides

What is the second step in solving a Multi-Step Equation with variables on both sides.

• Distribute

• Combine like terms on each side of the equal sign

• Move the variable

• Solve for the variable

-8(-8x - 6) = -6x - 22

• 2/5

• -1

• 8/7 

• 2

22 + 2a = 37 + 6 + a

• 21

• -21

• 5

• 6

Solve the equation:
3x - x + 2 = 4(2x - 1)

• x = 7

• x = 1

• x = -1

• x = -3

What is the third step in solving a Multi-Step Equation with variables on both sides.

• Distribute

• Combine like terms on each side of the equal sign

• Move the variable

• Solve for the variable

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

In order to solve an equation, we must get variables on one side of an equation, and constants on the opposite side.

• False

• True

Put the Steps or solving Equations with Variables on both sides in order.

• Distribute

• Combine Like terms

• Move the variables to one side

• + or - the constant

-(8n - 2) = 3 + 10(1 - 3n)

• n = 1/2

• n = -1/2

• n = 2

Which of the following are basic rules used for solving algebraic equations?

• 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