Question

7x- ( 2x + 5 ) = ( 3 x - 2 )
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Answer 1

Answer:

7x-(2x+5)=(3x-2)

7x-2x+5=3x-2

5x+5=3x-2

5x-3x=-2-5

2x=-7

x=-7/2

Answer 2

Answer:

Solution of the equation = 3/2

Explanation:

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$\bold{7x - ( 2x + 5 ) = ( 3x - 2 )}$

$\rm\implies 7x -2x-5=3x-2$

$\rm\implies 5x -5= 3x-2$

$\rm\implies 5x -3x=-2+5$

$\rm\implies 2x=3$

$\rm\implies x=\dfrac{3}{2}$

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3/2 is the solution of the equation

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Verification:

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$\rm\implies 7\bigg(\dfrac{3}{2}\bigg) - \bigg\{2\bigg(\dfrac{3}{2}+5 \bigg)\bigg\} = \bigg\{ 3\bigg( \dfrac{3}{2} \bigg) -2 \bigg\}$

$\rm\implies\dfrac{21}{2}- \bigg\{ \not 2\bigg( \dfrac{3}{\not 2} \bigg) +5 \bigg\} = \bigg( \dfrac{9}{2}-2\bigg)$

$\rm\implies \dfrac{21}{2} -(3+5)= \bigg( \dfrac{9-4}{2} \bigg)$

$\rm\implies \dfrac{21-6-10}{2}= \dfrac{5}{2}$

$\rm\implies \dfrac{5}{2} = \dfrac{5}{2}$

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LHS = RHS

Hence, verified.