Understanding Algebraic Equations

The video tutorial explains how to solve for the expression 4x - 3 from a given equation. It begins by distributing terms and combining like terms to simplify the equation. The tutorial then demonstrates isolating the variable x on one side of the equation. Finally, it calculates the value of 4x - 3 by performing the necessary arithmetic operations.

What is the first step in solving the equation to find the value of 4x - 3?

• Subtract 12 from both sides

• Distribute 3/4 across the terms

• Add 3 to both sides

• Multiply both sides by 4

After distributing 3/4, what is the resulting expression?

• 3x + 4

• 16x - 12

• 4x - 3

• 12x - 9 + 12

How do you combine like terms in the equation 12x - 9 + 12 = 16x - 12?

• Multiply both sides by 2

• Combine -9 and 12 to get 3

• Subtract 12 from both sides

• Add 9 to both sides

What operation is performed to isolate 4x in the equation 3 = 4x - 2?

• Divide both sides by 3

• Add 12 to both sides

• Subtract 2 from both sides

• Multiply both sides by 4

What is the final value of 4x - 3?

• 15

• 3

• 9

• 12