Question

2x+8=4x-2 solve the equation

Answer 1

Answer:

x=5 is the answer

Step-by-step explanation:

hope this helped you

Answer 2

Question:-

• Solve:- 2x + 8 = 4x - 2

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$\red{\boxed{ \sf \blue{ Understanding \: the \: Question }}}$

• In these types of questions , we have to transfer the number to other side to solve for x . Like:- First we have to take all the numbers with x to one side and simple numbers to other side . For Verification :- Just fill the value of x which is got by solving the equation. And make RHS = LHS.

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Solution:-

$\begin{gathered}\begin{gathered}: \green\implies \underline\red{ \boxed{\displaystyle \sf \bold{\:2x \: + \: 8 \: = \: 4x \: - \: 2}} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \blue\implies \displaystyle \sf \:8 \: + \: 2 \: = \: 4x \: - \: 2x \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \blue\implies \displaystyle \sf \: 10 \: = \: 2x \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \blue\implies \displaystyle \sf \: \frac{10}{2} \: = \: x \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \red\implies \underline\green{ \boxed{\displaystyle \sf \bold\orange{\:5 \: = \: x}} }\\ \\\end{gathered}\end{gathered}$

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Verification:-

$\begin{gathered}\begin{gathered}: \green\implies \underline\red{ \boxed{\displaystyle \sf \bold{\:2x \: + \: 8 \: = \: 4x \: - \: 2}} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \blue\implies \displaystyle \sf \:2 \: × \: 5\: + \: 8 \: = \: 4\: × \: 5 \: - \: 2 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \blue\implies \displaystyle \sf \: 10 + \: 8 \: = \: 20 \: - \: 2 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \red\implies \underline\green{ \boxed{\displaystyle \sf \bold\orange{\:18 \: = \: 18}} }\\ \\\end{gathered}\end{gathered}$

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So, the value of x = 5