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Semenov [28]
1 year ago
5

Solve 7x2(x + 1) = 6x + 14 Ox=-12 Ox = 12 Ox= -16 Ox = 16

Mathematics
2 answers:
Helen [10]1 year ago
4 0

\huge\text{Hey there!}

\huge\textbf{Equation:}

\mathsf{7x - 2(x + 1) = 6x + 14}

\huge\textbf{DISTRIBUTE 2 WITHIN the}\\\\\huge\textbf{PARENTHESES:}

\mathsf{7x - 2(x) + 2(1) = 6x + 14}

\mathsf{7x - 2x - 2 = 6x + 14}

\huge\textbf{COMBINE the LIKE TERMS (if you}\\\\\huge\textbf{have any):}

\mathsf{(7x - 2x) - 2 = 6x + 14}

\mathsf{5x - 2 = 6x + 14}

\huge\textbf{ADD 2 to BOTH SIDES:}

\mathsf{5x - 2 + 2 = 6x + 14 + 2}

\huge\textbf{SIMPLIFY IT!}

\mathsf{5x = 6x + 16}

\huge\textbf{SUBTRACT 6x to BOTH SIDES}

\mathsf{5x - 6x = 6x + 16 - 6x}

\huge\textbf{SIMPLIFY IT!}

\mathsf{-x = 16}

\mathsf{-1x = 16}

\huge\textbf{DIVIDE -1 to BOTH SIDES}

\mathsf{\dfrac{-1x}{-1} = \dfrac{16}{-1}}

\huge\textbf{SIMPLIFY IT!}

\mathsf{x = \dfrac{16}{-1}}

\mathsf{x = -16}

\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -16}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

Evgen [1.6K]1 year ago
3 0

\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}

Use the distributive property to multiply −2 by x+1.

  • \large\displaystyle\text{$\begin{gathered}\sf 7x-2x-2=6x+14 \end{gathered}$}

Combine 7x and −2x to get 5x.

  • \large\displaystyle\text{$\begin{gathered}\sf 5x-2=6x+14 \end{gathered}$}

Subtract 6x on both sides.

  • \large\displaystyle\text{$\begin{gathered}\sf 5x-2-6x=14 \end{gathered}$}

Combine 5x and −6x to get −x.

  • \large\displaystyle\text{$\begin{gathered}\sf -x-2=14 \end{gathered}$}

Add 2 to both sides.

  • \large\displaystyle\text{$\begin{gathered}\sf -x=14+2 \end{gathered}$}

Add 14 and 2 to get 16.

  • \large\displaystyle\text{$\begin{gathered}\sf -x=16 \end{gathered}$}

Multiply both sides by −1.

  • \large\displaystyle\text{$\begin{gathered}\sf x=-16 \ \ \to \ \ \ Answer \end{gathered}$}

<h2>{ Pisces04 }</h2>
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