Answer:
8 - 4 x = -(2 x - 17)
Explanation:
Solve for x:
-4 (x - 2) = -2 (x - 17/2)
Hint: | Put the fractions in x - 17/2 over a common denominator.
Put each term in x - 17/2 over the common denominator 2: x - 17/2 = (2 x)/2 - 17/2:
-4 (x - 2) = -2(2 x)/2 - 17/2
Hint: | Combine (2 x)/2 - 17/2 into a single fraction.
(2 x)/2 - 17/2 = (2 x - 17)/2:
-4 (x - 2) = -21/2 (2 x - 17)
Hint: | In (-2 (2 x - 17))/2, divide -2 in the numerator by 2 in the denominator.
(-2)/2 = (2 (-1))/2 = -1:
-4 (x - 2) = -1 (2 x - 17)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
Answer: 8 - 4 x = -(2 x - 17)