Question

Please Solve for x:​

Answer 1

Solution -

We have an equation and need to solve for the value of x.

$\tt\dashrightarrow{\dfrac{2x - 4}{3} = \dfrac{3x + 4}{2}}$

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Cross multiplying

$\tt\dashrightarrow{2(2x - 4) = 3(3x + 4)}$

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$\tt\dashrightarrow{4x- 8 = 9x + 12}$

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$\tt\dashrightarrow{4x - 9x = 12 + 8}$

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$\tt\dashrightarrow{-5x = 20}$

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$\tt\dashrightarrow{x = \dfrac{20}{-5}}$

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$\bf\dashrightarrow{x = -4}$

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Hence,

• Value of x is -4.

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Answer 2

Given:

• $\tt \: equation : \dfrac{2x - 4}{3} = \dfrac{3x + 4}{2}$

To Find:

• The value of the variable x

Solution:

${ : \implies} \tt \: \dfrac{2x - 4}{3} = \dfrac{3x + 4}{2}$

~Now,let's cross multiply the fractions to find the value of x

What is cross multiplication ?

When two fractions are in the form a/b = c/d we multiply them and form an equation in the format a × d = c × d

$\dashrightarrow \tt \: 2(2x - 4) = 3(3x + 4) \\ \\ \\ \dashrightarrow \tt 4x - 8 = 9x + 12 \: \: \: \: \: \: \: \: \\ \\ \\ \dashrightarrow \tt - 8 - 12 = 9x - 4x \: \: \: \: \\ \\ \\ \dashrightarrow \tt - 20 = 5x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \dashrightarrow \tt x = \cancel\frac{ - 20}{ \: 4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \dashrightarrow \tt { \pink{ \boxed{ \pmb{ \frak{x = - 4}}} \bigstar}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

• Henceforth the value of x is - 4

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