Question

6+18=4(9x-6) solve for x

Answer 1

Answer:

6+18=4(9x-6)

=> 6+18 = 36x-24

=> -36x = -24-6-18

=> -36x = -30-18

=> -36x = -48

=> 36x = 48

=> x = $\dfrac{48}{36}$

=> x = $\dfrac{4}{3}$

Step-by-step explanation:

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Answer 2

Solution :-

Given :

• $\sf{6x+18= 4(9x-6)}$

To Find :

• The value of x.

Now, we are solving equation :

$: \implies{\sf{ 6x+18= 4(9x-6)}}\\ \\ : \implies{\sf {6x+18= 36x-24}} \\ \\ : \implies{\sf{18+24=36x-6x }} \\ \\ : \implies{\sf{42=30x }} \\ \\ : \implies{\sf{\frac {42}{30}=x }} \\ \\ : \implies{\sf{\frac {7}{5}=x }}\\ \\ : \implies {\boxed{\tt{x=\frac {7}{5}}}}$

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Procedure used in solving equation :

• We have written 4(9x-6) as 36x-24 because a (b-c) = a×b -c×a.
• We have written 6x+18= 36x-24 as 18+24=36x-6x because 6x transposed to RHS and -24 transposed to LHS.

Note : After transposing, a variable or a numeral changes it's sign.