Question

$5x - 3 = 3x - 5$
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Answer 1

⇒5x-3=3x-5

⇒5x-3x=5+3

⇒2x=8

⇒x= $\bf\dfrac{8}{2}$ = 4

Answer 2

$\sf5x - 3 = 3x - 5 \\ \\ \sf5x - 3x = - 5 + 3 \\ \\ \sf2x = - 2 \\ \\ \sf x = \frac{ - 2}{ \: \: \: \: 2} \\ \\ \boxed{\sf x = ( - 1)}$

Verification :

LHS = 5 (-1)-3

=(-5)-3

=(-5)+(-3)

=(-8)

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RHS = 3(-1)-5

=(-3)-5

=(-3)+(-5)

=(-8)

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LHS=RHS

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$\\ \\ \\ \\ \\ \color{lime}{ \bf{Hope \: \: this \: \: helps \: \: you \: !}}$