Question

If 5 [x - 3] - 4 [x - 2] = 0, then the value of x is :
(a) - 8
(b) - 7
(c) 7
(d) 8​

Answer 1

$\Huge\mathfrak{{\color{navy}{{\underline{an}}}}{\color{blue}{{\underline{sw}}}}{\blue{{\underline{er}}}}{\color{skyblue}{:}}}$

$\bf \large \underline{To \: solve} : \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \: \: \: \: \: 5(x - 3) - 4(x - 2) = 0 \\ \sf \implies 5x - 15 - 4x + 8 = 0 \: \: \: \: \: \: \: \: \: \: \: \\ \sf \implies (5x - 4x) + ( - 15 + 8) = 0 \\ \sf \implies x - 7 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \implies x = \color{blue}{ \underline{ \boxed{ \bf 7}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\large\bf\color{blue}{(c)~~~~7~~~~~~~{\huge{✓}}}$

Answer 2

Answer :

• Option [C] Value of x = 7.

Solution :

➞ 5(x - 3) - 4(x - 2) = 0.

➞ 5x - 15 - 4x + 8 = 0.

➞ 5x - 4x - 15 + 8 = 0.

➞ 5x - 4x = 15 - 8.

➞ x = 7.

Verification :

➞ 5(x - 3) - 4(x - 2) = 0.

➞ 5(7 - 3) - 4(7 - 2) = 0.

➞ 5 × 4 ‐ 4 × 5 = 0.

➞ 20 - 20 = 0.

➞ 0 = 0.

LHS = RHS.

Hence, Verified.