Question

please answer the question attached above with steps ​

Answer 1

Answer:

$\frac{4}{5}$

Step-by-step explanation:

=> (6x/3 - 4/3)=(8x/5 - 12/5)

=> 2x/3=(-4/5) - 4/3

=> 2x/3=(-12-20/15)

=> 2x/3=(-8/15)

=> 2x=(-8/15×3/1)=(-8/5×1/1)=(-8/5

=> 2x=(-8/5)

=> x=(-8/5÷2/1)

=> x=(-8/5×1/2)=4/5×1

=> 4/5

Ans:- 4/5

Answer 2

★ How to do :-

Here, we are given with an equation in which we are given with two same variables namely x. We are also given with some of the constants which are in the form of the fractions. We are asked to find the value of x. To find the answer i.e, the value of the variable x we use an other concept which is called as the transposition method. In this method, we shift the constants and variables on two different sides of the equation. Then, we operate the numbers by appropriate signs and then we can again find the value of the variable x by the same method. There are also many chances of getting the values of the variables as negative values which can also happen here. So, let's solve!!

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➤ Solution :-

${\sf \leadsto \dfrac{2}{3} (3x - 2) = \dfrac{4}{5} (2x - 3) - \dfrac{4}{3}}$

Multiply the fraction outside the bracket with numbers in bracket.

${\sf \leadsto \dfrac{6}{3}x - \dfrac{4}{3} = \dfrac{8}{5}x - \dfrac{12}{15} - \dfrac{4}{3}}$

Write all the numerators with one common denominator by converting them into like fractions.

${\sf \leadsto \dfrac{6x - 4}{3} = \dfrac{24x - 12 - 20}{15}}$

Shift the denominator on LHS to RHS.

${\sf \leadsto 6x - 4 = \cancel{3} \bigg( \dfrac{24x - 12 - 20}{\cancel{15}} \bigg)}$

Write the obtaining fraction.

${\sf \leadsto 6x - 4 = \dfrac{24x - 12 - 20}{5}}$

Shift the number 5 from RHS to LHS.

${\sf \leadsto 5(6x - 4) = 24x - 12 - 20}$

Multiply the number 5 with the numbers in bracket.

${\sf \leadsto 30x - 20 = 24x - 12 - 20}$

Subtract the constants on RHS.

${\sf \leadsto 30x - 20 = 24x - 32}$

Shift the variable on RHS to LHS and the constant on LHS to RHS.

${\sf \leadsto 30x - 24x = ( - 32) + 20}$

Subtract the values on LHS and add the values on RHS.

${\sf \leadsto 6x = ( - 12)}$

Shift the number 6 from LHS to RHS.

${\sf \leadsto x = \dfrac{( - 12)}{6}}$

Simplify the fraction to get the value of x.

${\sf \leadsto x = ( - 2)}$

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${ \red{ \underline{ \boxed{ \bf So, \: the \: value \: of \: x \: is \: ( - 2).}}}}$