Question

Solve and check: -31-4x=-5-5(1+5x)

Answer 1

The given equation is,

`-31-4x=-5-5(1+5x)`

The objective is to solve the value of x and verify the solution.

Let's solve the value of x.

`\begin{gathered} -31-4x=-5-5(1+5x) \\ -31-4x=-5-5-25x \\ 25x-4x=-5-5+31 \\ 21x=21 \\ x=1 \end{gathered}`

Hence, the value of x is 1.

Let's verify the value of x by substituting the value of x in the given equation.

`\begin{gathered} -31-4x=-5-5(1+5x) \\ -31-4(1)=-5-5(1+5(1)) \\ -31-4=-5-5(1+5) \\ -35=-5-5-25 \\ -35=-35 \end{gathered}`

Thus, the value of LHS=RHS.

Hence the value of x is correct.