Question

find x if 5(1-2x)=9(1-2x)​

Answer 1

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\implies$ Here in the question an equation is given, that is 5(1 - 2x) = 9(1 - 2x). Now the question has asked us to solve this equation and find the value of x. So, to solve this equation follow the steps given below.

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ANSWER:-

⪼ Value of x is 1/2.

GIVEN:-

⇢ Equation = 5(1 - 2x) = 9(1 - 2x)

TO FIND:-

➡ Here we have to solve the equation and find the value of x.

SOLVING STEP BY STEP:-

• To solve this equation follow the steps below:-

1. Take constant terms to R.H.S.
2. Separate the constant terms from the variable.
3. Take the separated term to R.H.S.
4. Solve further.

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So, let's solve it!

• Solving the equation:-

$\to \rm{5(1 - 2x) = 9(1 - 2x)}$

$\to\sf {\underbrace{\underbrace{5(1} - 2x}) ={\underbrace{\underbrace{9(1} - 2x})}}$

$\to \sf{Taking \: 9 \: to \: L.H.S. \: and \: 10x \: to \: R.H.S.}$

$\to \rm{5 - 9 = -18x + 10x}$

$\to \rm{-4 = -8x}$

$\to \sf{Taking \: -8x \: to \: L.H.S.}$

$\to \rm{\dfrac{-4}{-8} = x}$

$\to \sf{Cancelling \: the \: terms.}$

$\to \sf{Minus \: cancells\: with \: minus.}$

$\to \rm{ \dfrac{\not4}{\not8} = x}$

$\purple\dag\underline {\boxed{ \sf \blue {x = \dfrac{1}{2}}}}$

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VERIFICATION:-

• REFER THE IMAGE ABOVE FOR VERIFICATION.

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Answer 2

value of x= 1/2

hope it helps