Answer:
x = 1/2 thus Line 3 is false
Step-by-step explanation:
Solve for x:
10 - 2 x = 14 x + 2
Hint: | Move terms with x to the left hand side.
Subtract 14 x from both sides:
10 + (-2 x - 14 x) = (14 x - 14 x) + 2
Hint: | Combine like terms in -2 x - 14 x.
-2 x - 14 x = -16 x:
-16 x + 10 = (14 x - 14 x) + 2
Hint: | Look for the difference of two identical terms.
14 x - 14 x = 0:
10 - 16 x = 2
Hint: | Isolate terms with x to the left hand side.
Subtract 10 from both sides:
(10 - 10) - 16 x = 2 - 10
Hint: | Look for the difference of two identical terms.
10 - 10 = 0:
-16 x = 2 - 10
Hint: | Evaluate 2 - 10.
2 - 10 = -8:
-16 x = -8
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -16 x = -8 by -16:
(-16 x)/(-16) = (-8)/(-16)
Hint: | Any nonzero number divided by itself is one.
(-16)/(-16) = 1:
x = (-8)/(-16)
Hint: | Reduce (-8)/(-16) to lowest terms. Start by finding the GCD of -8 and -16.
The gcd of -8 and -16 is -8, so (-8)/(-16) = (-8×1)/(-8×2) = (-8)/(-8)×1/2 = 1/2:
Answer: x = 1/2
