Respuesta :

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

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

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

Combine 7x and −2x to get 5x.

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

Subtract 6x on both sides.

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

Combine 5x and −6x to get −x.

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

Add 2 to both sides.

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

Add 14 and 2 to get 16.

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

Multiply both sides by −1.

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

{ Pisces04 }

Amphitrite1040

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{7x - 2(x + 1) = 6x + 14}[/tex]

[tex]\huge\textbf{DISTRIBUTE 2 WITHIN the}\\\\\huge\textbf{PARENTHESES:}[/tex]

[tex]\mathsf{7x - 2(x) + 2(1) = 6x + 14}[/tex]

[tex]\mathsf{7x - 2x - 2 = 6x + 14}[/tex]

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

[tex]\mathsf{(7x - 2x) - 2 = 6x + 14}[/tex]

[tex]\mathsf{5x - 2 = 6x + 14}[/tex]

[tex]\huge\textbf{ADD 2 to BOTH SIDES:}[/tex]

[tex]\mathsf{5x - 2 + 2 = 6x + 14 + 2}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{5x = 6x + 16}[/tex]

[tex]\huge\textbf{SUBTRACT 6x to BOTH SIDES}[/tex]

[tex]\mathsf{5x - 6x = 6x + 16 - 6x}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{-x = 16}[/tex]

[tex]\mathsf{-1x = 16}[/tex]

[tex]\huge\textbf{DIVIDE -1 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-1x}{-1} = \dfrac{16}{-1}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = \dfrac{16}{-1}}[/tex]

[tex]\mathsf{x = -16}[/tex]

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

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]