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Solve the following for x. REDUCE(x+1)(x+1) + 2x = 2

Solve the following for x. REDUCE(x+1)(x+1) + 2x = 2-example-1

1 Answer

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To solve the equation for x first, apply the distributive property to the left side:


\begin{gathered} (1)/(3)(x+1)+2x=2 \\ (1)/(3)x+(1)/(3)+2x=2 \end{gathered}

Now add similar terms on the left side of the equation


(7)/(3)x+(1)/(3)=2

Subtract 1/3 from both sides of the equation


\begin{gathered} (7)/(3)x+(1)/(3)-(1)/(3)=2-(1)/(3) \\ (7)/(3)x=(5)/(3) \end{gathered}

Multiply by 3 on both sides of the equation


\begin{gathered} 3\cdot(7)/(3)x=(5)/(3)\cdot3 \\ 7x=5 \end{gathered}

Finally, divide by 7 into both sides of the equation


\begin{gathered} (7x)/(7)=(5)/(7) \\ x=(5)/(7) \end{gathered}

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