The equation 8(3x – 2) – 4 = 8x + 4(4x – 3) has what type of solution set? Infinite

Two-solution

One-solution

No solution

Let's solve for x

8(3x-2) - 4 = 8x + 4(4x-3)

8(3x)+8(-2)-4 = 8x+4(4x)+4(-3)

24x-16-4 = 8x+16x-12

24x-20 = 24x-12

-20 = -12 subtract 24x from both sides, the two terms cancel each other out

We end up with a false equation as both sides are not the same number.

No matter what value of x you plug in, you'll get a false equation.

This is known as a contradiction because the left hand side says one thing, but the right hand side says something else.