Solving Linear Equations Steps

The video tutorial explains how to solve the equation 6x - 5 + 8x - 3 = 2x + 16. It begins by grouping like terms on the left side, resulting in 14x - 8. The instructor then balances the equation by adding 8 to both sides, leading to 14x = 2x + 24. By subtracting 2x from both sides, the equation simplifies to 12x = 24. Finally, dividing both sides by 12 gives the solution x = 2.

What is the first step in solving the equation 6x - 5 + 8x - 3 = 2x + 16?

• Add all constants on both sides

• Group like terms on the left side

• Divide both sides by 12

• Subtract 2x from both sides

After grouping like terms, what is the simplified form of the left side of the equation?

• 12x + 24

• 14x - 8

• 6x + 8x - 5 - 3

• 2x + 16

What operation is performed to eliminate the constant on the left side of the equation?

• Subtract 8 from both sides

• Add 8 to both sides

• Divide both sides by 8

• Multiply both sides by 2

What is the equation after subtracting 2x from both sides?

• x = 2

• 2x = 16

• 12x = 24

• 14x = 24

What is the final step to solve for x in the equation 12x = 24?

• Add 12 to both sides

• Multiply both sides by 12

• Divide both sides by 12

• Subtract 12 from both sides

What is the value of x in the equation 6x - 5 + 8x - 3 = 2x + 16?

• 4

• 1

• 2

• 3