Question

Select the correct answer.

Answer 1

The answer is option C

Answer 2

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

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

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

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

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

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

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

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

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

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

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

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

↓

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

$\sf{4\times\dfrac{1}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }$

$\sf{\dfrac{4}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }$

$\sf{2-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }$

Cancel 2

$\sf{2-3+5=1+7-8\times\dfrac{8}{2} }$

$\sf{2-3+5=1+7-\dfrac{8}{2} }$

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

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

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

$\sf{4=8-4}$

$\sf{4=4}$

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

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