Question

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

Answer 1

`\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{$\begin{gathered}\sf x=-16 \ \ \to \ \ \ Answer \end{gathered}$}`

{ Pisces04 }

Answer 2

`\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{(-1x)/(-1) = (16)/(-1)}`

`\huge\textbf{SIMPLIFY IT!}`

`\mathsf{x = (16)/(-1)}`

`\mathsf{x = -16}`

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

~