Question

show that x = 4 is a solution of the equation x + 7 – 8x/3 = 17/6 – 5x/8​

Answer 1

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Correct option is

A

x=−5

Given,x+7−

3

8x

=

6

17

−

2

5x

⟹

3

3x+21−8x

=

6

17−15x

[TakingLCMonLHSandRHS]

⟹

3

−5x+21

=

6

17−15x

⟹−5x+21=

2

17−15x

[Multiplyingbothsidesby3]

⟹2(−5x+21)=17−15x[Bycross−multiplication]

⟹−10x+42=17−15x

⟹−10x+15x=17−42[Transposing−15xtoLHSand42toRHS]

⟹5x=−25

⟹x=−5[Dividebothsidesby5]