Question

Solve for all values of x in simplest form. -4|5x + 1| – 5 = -53

Answer 1

Simplify the equation -4|5x+1|-5=-53.

`\begin{gathered} -4|5x+1|-5=-53 \\ -4|5x+1|=-48 \\ |5x+1|=(-48)/(-4) \\ |5x+1|=12 \end{gathered}`

The equation |5x+1|=12 can be expressed as 5x+1=12 and 5x+1=-12.

Simpify the equation 5x+1=12 to obtain the value of x.

`\begin{gathered} 5x+1=12 \\ 5x=11 \\ x=(11)/(5) \end{gathered}`

Simplify the equation 5x+1=-12 to obtain the value of x.

`\begin{gathered} 5x+1=-12 \\ 5x=-13 \\ x=(-13)/(5) \end{gathered}`

So possible value of x is 11/5 and -13/5.