Question

Select the correct answer.

What is the solution for x in the equation?
4x-3+5=2x+7-8x
OA.x= -2
OB.x= 2
OC. = 1/2
OD.* = -1/2

Answer 1

`\large\displaystyle\text{$\begin{gathered}\sf 4x-3+5=2x+7-8x \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Simplify \ both \ sides \ of \ the \ equation. } \end{gathered}$}`

• 
  `\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+-3+5=2x+7+-8x } \end{gathered}$}`

• 
  `\large\displaystyle\text{$\begin{gathered}\sf \bf{(4x)+(-3+5)=(2x+-8)+(7) \ (Combine \ like \ terms) } \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2=-6x+7 } \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Add \ 6x \ to \ both \ sides.} \end{gathered}$}`

• 
  `\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2+6x=-6x+7+6x } \end{gathered}$}`

• 
  `\large\displaystyle\text{$\begin{gathered}\sf \bf{10x+2=7 } \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Subtract \ 2 \ from \ both \ sides. } \end{gathered}$}`

• 
  `\large\displaystyle\text{$\begin{gathered}\sf \bf{10x+2-2=7-2 } \end{gathered}$}`
• 
  `\large\displaystyle\text{$\begin{gathered}\sf \bf{10x=5 } \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Divide \ both \ sides \ by \ 10.} \end{gathered}$}`

• 
  `\large\displaystyle\text{$\begin{gathered}\sf \bf{(10x)/(10)=(5)/(10) } \end{gathered}$}`
• 
  `\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x=(1)/(2) } \end{gathered}$}}} \large\displaystyle\text{$\begin{gathered}\sf \ \ \to \ \ \boldsymbol{Answer} \end{gathered}$}`

↓

`\large\displaystyle\text{$\begin{gathered}\sf \bf{Verification} \end{gathered}$}`

`\sf{4*(1)/(2)-3+5=2*(1)/(2)+7-8*(1)/(2) }`

`\sf{(4)/(2)-3+5=2*(1)/(2)+7-8*(1)/(2) }`

`\sf{2-3+5=2*(1)/(2)+7-8*(1)/(2) }`

Cancel 2

`\sf{2-3+5=1+7-8*(8)/(2) }`

`\sf{2-3+5=1+7-(8)/(2) }`

`\sf{2-3+5=1+7-4 }`

`\sf{-1+5=1+7-4}`

`\sf{4=1+7-4}`

`\sf{4=8-4}`

`\sf{4=4}`

`\large\displaystyle\text{$\begin{gathered}\sf \bf{Checked} \end{gathered}$}`

`\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}`

Answer 2

The answer is option C