Question

On. –5(4 – 8x) – x = 5x + 14

Answer 1

Given the expression:

`-5(4-8x)-x=5x+14`

To solve for x, first we use the distributive property to get rid of the parenthesis:

`-5(4-8x)=-20+40x`

Then, we have:

`\begin{gathered} -5(4-8x)-x=5x+14 \\ \Rightarrow-20+40x-x=5x+14 \end{gathered}`

Now we pass to one side the equation all the terms that have 'x' and to the other side the constants:

`\begin{gathered} -20+40x-x=5x+14 \\ \Rightarrow40x-x-5x=14+20 \end{gathered}`

Solving for x we have:

`\begin{gathered} 40x-x-5x=14+20 \\ \Rightarrow40x-6x=34 \\ \Rightarrow34x=34 \\ \Rightarrow x=(34)/(34)=1 \\ x=1 \end{gathered}`

Therefore,x