Question

Solve for x.

-2 (x + 1/4)+1=5
Enter your answer as a fraction in simplest form in the box.
X = ​

Answer 1

`x=-(9)/(4) \\ or \:\\x = -2(1)/(4)`

Explanation:

`-2 (x + 1/4)+1=5\\\\-2\left(x+(1)/(4)\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+(1)/(4)\right)+1-1=5-1\\\\Simplify\\-2\left(x+(1)/(4)\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\(-2\left(x+(1)/(4)\right))/(-2)=(4)/(-2)\\\\Simplify\\x+(1)/(4)=-2\\\\\mathrm{Subtract\:}(1)/(4)\mathrm{\:from\:both\:sides}\\\\x+(1)/(4)-(1)/(4)=-2-(1)/(4)\\\\Simplify\\x=-(9)/(4)\\\\x = -2(1)/(4)`