Question

Solve x + 7 + 8 x/3 = 17/6- 5x/2
with explanation -​

Answer 1

Step-by-step explanation:

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x+7-8x/3-5x/2

3(x+7)-8x/3

=17-5x x3/6

3x+21-8x/3

=17-5x/6

3x-8x+21/3

=17-5x/6

-5x+21/3

=17-5x/6

6(-5x+21)=3(17-5x)

-30x+126=51-45x

-30=45x+51-126

-30x= -45x -75

-30x+45x= -75

15x = -75

x= -75/15

x= -5

Check:

LHS

x+7 -8x/3 = -5+7 -8(-5)/3

= 2+40/3 = 6+40/3 =46/3

RHS

17/6 - 5x/2 = 17/6 - 5(-5)/2 =17/6 + 25/2

=17+3(25)/6 =17+75/6 =92/6 =46/3

LHS=RHS

Hence Verified...✓

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