Simplify and Solve Equations Variable on Both Sides

What is the first step you should take to solve this equation: 3(x-2) = 2x + 7

• Add 2 to both sides

• Use the distributive property to get rid of the parentheses

• Isolate the variable on one side

• Subtract 7 from both sides

Solve the equation:

3x + 2(4x - 4) = 3

• 4

• 3

• 2

• 1

What is the next step to solve this equation?

-4x + 6 = 10

• Subtract 6 from both sides of the equation

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Subtract 4x from both sides of the equation

-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 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

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

• n = 1/2

• n = -1/2

• n = 2

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

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

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