Question

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

Answer 1

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

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

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

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

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

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

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

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

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

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

$\huge\textbf{SIMPLIFY IT!}$

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

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

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

$\huge\textbf{SIMPLIFY IT!}$

$\mathsf{-x = 16}$

$\mathsf{-1x = 16}$

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

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

$\huge\textbf{SIMPLIFY IT!}$

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

$\mathsf{x = -16}$

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

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

~$\frak{Amphitrite1040:)}$

Answer 2

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

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

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

Combine 7x and −2x to get 5x.

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

Subtract 6x on both sides.

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

Combine 5x and −6x to get −x.

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

Add 2 to both sides.

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

Add 14 and 2 to get 16.

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

Multiply both sides by −1.

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

{ Pisces04 }