Question

11 . solve for x and explain

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer :

x = - 9

Step-by-step explanation :

$\sf \frac{x - 7}{4} - 6 = \frac{3(x + 1)}{2} + 2 \\ \\ \sf \frac{(x - 7) - 24}{4} = \frac{3x + 3 + 4}{2} \\ \\ \sf \frac{x - 31}{4} = \frac{3x + 7}{2} \\ \\ \bf on \: cross \: multiplying : \\ \\ \sf 4(3x + 7) = 2( x- 31) \\ \\ \sf 12x + 28 = 2x - 62 \\ \\ \sf 12x - 2x = - 62 - 28 \\ \\ \sf 10x = - 90 \\ \\ \sf x = \frac{ - 90}{10} \\ \\ \therefore \boxed{ \underline{ \bf x = - 9}}$

Verification :

Putting the value of x, we get ;

$\sf \frac{x - 7}{4} - 6 = \frac{3(x + 1)}{2} + 2 \\ \\ \sf \frac{ - 9 - 7}{4} - 6 = \frac{3( - 9 + 1)}{2} + 2 \\ \\ \sf \frac{ - 16 - 24}{4} = \frac{ - 24 + 4}{2} \\ \\ \sf \frac{ - 40}{4} = \frac{ - 20}{2} \\ \\ \sf - 10 = - 10 \\ \\ \bf LHS = RHS$

Hence, the value of x is - 9.