Question

solve the following equation: 3(4x - 3) - 2x = 2x + 2(4x + 1)

○ x = 2
○ no solution
○ x = -9
○ x = 0
○ infinitely many solutions

Explanation:

Step1: Expand both sides

Expand the left side: \(3(4x - 3)-2x = 12x - 9 - 2x = 10x - 9\)
Expand the right side: \(2x + 2(4x + 1)=2x + 8x + 2 = 10x + 2\)

Step2: Simplify the equation

Now the equation is \(10x - 9 = 10x + 2\). Subtract \(10x\) from both sides:
\(10x - 10x - 9 = 10x - 10x + 2\)
Simplifies to \(-9 = 2\), which is a false statement.

Answer:

No Solution