Question

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

Calculate the value of x
Please answer correct​

Answer 1

Answer:

x= -4.......................

Answer 2

___________________________________

★ Given:

• Equation: 7(x+1) = 5(x-3)

‎ ‎ ‎ ‎ ‎ ‎ ‎

★ To find:

The value of "x".

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

★ Solution:

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

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

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

$\sf\implies 2x = - 22$

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

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

‎ ‎ ‎ ‎ ‎ ‎

★ Verification:

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

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

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

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

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

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

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

____________________________________