Question

PLEASE I NEED HELP WITH THIS!!!

9. The equation below was solved incorrectly. Find and describe the error. Work the equation out
correctly
x-20=5(7x-4)
x-20=35x - 20
+20+20
x=35x
No Solution

Answer 1

Starting equation:
x - 20 = 5(7x - 4)

First, distribute 5 on the right side of the equation:

x - 20 = 35x - 20

Now, isolate the variable x. Start by subtracting 35x from both sides of the equation:

x - 35x - 20 = 35x - 35x - 20

This simplifies to:

-34x - 20 = 0

Now, add 20 to both sides of the equation to isolate -34x:

-34x - 20 + 20 = 0 + 20

-34x = 20

Finally, divide both sides by -34 to solve for x:

(-34x) / -34 = 20 / -34

x = -20 / 34

You can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

x = (-20 / 2) / (34 / 2)

x = -10 / 17

So, the correct solution to the equation is:

x = -10/17