Question

Solve : x+7-8x/3=17/6-5x/8

Answer 1

x + 7 - 8x/3 = 17/6 - 5x/2
x - 8x/3 + 5x/2 = 17/6 - 7
(6x - 16x + 15x)/6 = (17 - 42)/6
(21x - 16x)/6 = -25/6
5x/6 = -25/6
5x = (-25 x 6)/6
5x = -25
x = -25/5
x = -5
Verification :
L.H.S = x + 7 - 8x/3
= -5 + 7 - (-40)/3
= -5 + 7 + 40/3
= -5 + (21 + 40)/3
= -5 + 61/3
= (-15 + 61)/3
= 46/3
R.H.S = 17/6 - 5x/2
= 17/6 - (-25)/2
= 17/6 + 25/2
= (17 + 75)/6
= 92/6
= 46/3
L.H.S = R.H.S
Please mark this answer as brainiest answer please

Answer 2

Hello...
Answer...

We have:

$x + 7 - \frac{8x}{3} = \frac{17}{6} - \frac{5x}{8}$


The denominators on two sides are 3,6and 8.
Their lcm is 24.
Multiplying both sides of the given equation by 24. we get

$24(x + 7 - \frac{8x}{3} = 24( \frac{17}{6} - \frac{5x}{8}) \\ \\ = > 24x + 24 \times 7 - 24 \times \frac{8x}{3} = 24 \times \frac{17}{6} - 24 \times \frac{5x}{8} \\ \\ = > 24x + 168 - 64x = 68 - 15x \\ \\ = > 168 - 40x = 68 - 15x \\ \\ = > - 40x + 15x = 68 - 168 \\ \\ = > - 25x = - 100 \\ \\ = > 25x = 100 \\ \\ = > \frac{100}{25} \\ \\ = > x = 4$

Thus, x =4 is the solution of the given equation.

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