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44 votes
How do I solve for 5(+20)=7+30?

User Varunsrin
by
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1 Answer

13 votes
13 votes

First, we apply the distributive property of multiplication:


\begin{gathered} 5x+5\cdot20=7x+30, \\ 5x+100=7x+30. \end{gathered}

Subtracting 5x from the above equation we get:


\begin{gathered} 5x+100-5x=7x+30-5x, \\ 100=2x+30. \end{gathered}

Now, subtracting 30 we get:


\begin{gathered} 100-30=2x+30-30, \\ 70=2x\text{.} \end{gathered}

Finally, dividing by 2 we get:


\begin{gathered} (2x)/(2)=(70)/(2), \\ x=35. \end{gathered}

Answer: x=35.

User Darmis
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3.0k points