C) x = -1
Steps:
1/4 (x - 7) = 2x (distribute 1/4 with x and -7)
1/4x - 7/4 = 2x (distributed)
1/4x - 7/4 - 2x = 0 (put all values on 1 side)
1/4 x - 2x = 7/4 (put the x values together and 7/4 on the other side. *make sure you switch the signs (+ & -) when moving the values to the other side of the equal sign)
1/4x - 8/4x = 7/4 (multiply 2x by 4 on on top and bottom. *2x written as fraction is 2x/1)
-7/4 x = 7/4 (when you subtract 1/4x with 8/4x you get -7/4)
(-7/4)x / (-7/4) = 7/4 / (-7/4) (divide both sides by -7/4 to solve for x)
X = -1
Reminders when multiplying or dividing:
2 positives make a positive
2 negatives make a positive
A positive and a negative make a negative
A negative and a positive make a negative