Solving Equations with Variables on Both Sides

The video tutorial demonstrates solving the equation 4x - 7 = 3x + 1 by collecting variables on one side, isolating the variable x, and verifying the solution. The process involves creating zero pairs and using inverse operations to simplify the equation, ultimately finding that x equals 8. The solution is checked by substituting back into the original equation to ensure both sides are equal.

What is the first step in solving the equation 4x - 7 = 3x + 1?

• Subtract 3x from both sides

• Add 7 to both sides

• Multiply both sides by 4

• Divide both sides by 3

After subtracting 3x from both sides, what is the resulting equation?

• x = 1

• x = 8

• x = 7

• x = 0

What operation is performed to isolate x after obtaining x - 7 = 1?

• Multiply both sides by 7

• Add 7 to both sides

• Divide both sides by 7

• Subtract 1 from both sides

What is the value of x that satisfies the equation 4x - 7 = 3x + 1?

• x = 7

• x = 8

• x = 6

• x = 9

How do you verify the solution x = 8 in the equation 4x - 7 = 3x + 1?

• By multiplying both sides by 8

• By dividing both sides by 8

• By adding 8 to both sides of the equation

• By substituting x = 8 into the equation and checking if both sides are equal