Question

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

Answer 1

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}`