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Solve for xx.−30amp;=5(x+1)xamp;=□\begin{align*}-30 &= 5(x+1)\\x &= \square\end{align*}

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Checkpoint: Rational and irrational numbersright chevron icon

Full solution

Q. Solve for xx.−30=5(x+1)x=□\begin{align*}-30 &= 5(x+1)\\x &= \square\end{align*}
  1. Understand given system: Understand the given system of equations.\newlineWe are given a single equation −30=5(x+1)-30 = 5(x + 1) and asked to solve for xx.
  2. Apply distributive property: Apply the distributive property to the right side of the equation.\newline−30=5×x+5×1-30 = 5 \times x + 5 \times 1\newline−30=5x+5-30 = 5x + 5
  3. Subtract to isolate term: Subtract 55 from both sides of the equation to isolate the term with xx.\newline−30−5=5x+5−5-30 - 5 = 5x + 5 - 5\newline−35=5x-35 = 5x
  4. Divide to solve for x: Divide both sides of the equation by 55 to solve for x.\newline−35/5=5x/5-35 / 5 = 5x / 5\newline−7=x-7 = x

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