Question

Please answer correctly​

Answer 1

Given equation:

7(x+1) = 5(x-3)

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To find:

Value of x.

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Solution:

7(x+1) = 5(x-3)

7x+7 = 5x-15

7x-5x = -15-7

2x = -22

$x = \dfrac{ - 22}{2}$

$\boxed {\boxed {\sf {\orange {x=-11}}}}$

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Verification:

On substituting the value of x as (-11) in the equation,

7(x+1) = 5(x-3)

7(-11+1) = 5(-11-3)

7×(-10) = 5×(-14)

-70 = -70

LHS = RHS

Hence Verified!

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Final answer:

Value of x is (-11)

Answer 2

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★ Given:

• Equation: 7(x+1) = 5(x-3)

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★ To find:

The value of "x".

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★ Solution:

$\sf\implies 7(x + 1) = 5(x - 3)$

$\sf\implies 7x + 7 = 5x - 15$

$\sf\implies 7x - 5x = - 15 - 7$

$\sf\implies 2x = - 22$

$\sf\implies x = \frac{ - 22}{2} = - 11$

• $\large\underline{\boxed{\sf{\red{x=-11}}}}$

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★ Verification:

To verify, substitute (-11) in place of 'x' in the given equation.

$\sf\implies7( x + 1) = 5( x - 3)$

$\sf\implies 7( - 11 + 1) = 5( - 11 - 3)$

$\sf\implies 7 \times ( - 10) = 5 \times ( - 14)$

$\sf\implies(- 70) = (- 70)$

$\bold{\implies L.H.S = R.H.S}$

$\large\rightarrow{\underline{\underline{\tt{\red{Hence,\: verified\:!}}}}}$

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