Answer:
c.) x = -3
Step-by-step explanation:
Solve for x:
-10 x = 2 (9 - 2 x)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
-10 x = 18 - 4 x
Hint: | Move terms with x to the left hand side.
Add 4 x to both sides:
4 x - 10 x = (4 x - 4 x) + 18
Hint: | Look for the difference of two identical terms.
4 x - 4 x = 0:
4 x - 10 x = 18
Hint: | Combine like terms in 4 x - 10 x.
4 x - 10 x = -6 x:
-6 x = 18
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -6 x = 18 by -6:
(-6 x)/(-6) = 18/(-6)
Hint: | Any nonzero number divided by itself is one.
(-6)/(-6) = 1:
x = 18/(-6)
Hint: | Reduce 18/(-6) to lowest terms. Start by finding the GCD of 18 and -6.
The gcd of 18 and -6 is 6, so 18/(-6) = (6×3)/(6 (-1)) = 6/6×3/(-1) = 3/(-1):
x = 3/(-1)
Hint: | Simplify the sign of 3/(-1).
Multiply numerator and denominator of 3/(-1) by -1:
Answer: x = -3
