Question

Solve the equation: 8(4x - 1) - 12x = 11(2x - 6).

a) x = 4
b) x = 2
c) x = -2
d) x = -4

Answer 1

To solve the equation 8(4x - 1) - 12x = 11(2x - 6), first simplify both sides and then solve for x.

Step-by-step explanation:

To solve the equation 8(4x - 1) - 12x = 11(2x - 6), we start by simplifying both sides of the equation. We distribute the multiplication on both sides and combine like terms:

32x - 8 - 12x = 22x - 66

Next, we collect all the x terms on one side of the equation:

32x - 12x - 22x = -66 + 8

Then, we combine like terms again:

-2x = -58

Finally, we solve for x by dividing both sides of the equation by -2:

x = -58 / -2

x = 29