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On. –5(4 – 8x) – x = 5x + 14

User Fardown
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1 Answer

18 votes
18 votes

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

User Ningk
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