Isolating and Solving for X

The video tutorial explains how to simplify and solve a complex equation by identifying and combining like terms on both sides of the equal sign. It demonstrates the process of isolating the variable x and verifying the solution. The tutorial emphasizes the importance of simplifying expressions before solving and shows how each step leads to a simpler equation, ultimately finding that x equals 4.

What is the first step in solving a complex equation?

• Guess the value of X

• Simplify each side of the equation

• Multiply both sides by zero

• Add random numbers to both sides

Which terms are combined on the left side of the equation?

• 6X and 3

• 6X and -2X

• 3 and 5

• 6 and 4

What is the result of combining 6X and -2X?

• 8X

• 4X

• 2X

• 0

What do the numbers 3 and 4 combine to on the left side?

• 6

• 9

• 7

• 8

What is the result of combining 6 and 5 on the right side?

• 10

• 13

• 11

• 12

What is the equation after combining like terms on both sides?

• X + 4 = 2X + 6

• 2X + 5 = 3X + 7

• 4X + 7 = 3X + 11

• 6X + 3 = 5X + 9

What operation is performed to isolate X on one side?

• Divide both sides by 3

• Subtract 3X from both sides

• Multiply both sides by 3

• Add 3X to both sides

What is the value of X after isolating it?

• 4

• 3

• 5

• 6

What is the next step after isolating X?

• Multiply both sides by 7

• Add 7 to both sides

• Subtract 7 from both sides

• Divide both sides by 7

What does the equation become after subtracting 7 from both sides?

• X = 3

• X = 4

• X = 5

• X = 6