Question

Solve the equation:
$-(x-5)+5(x-9)=2(x+8)-(2x+5)$.

• A. $x=5$
• B. no solutions
• C. $x=\frac{51}{4}$
• D. $x=-8$

Answer 1

The correct option is C $x=\frac{51}{4}$

Given, $-(x-5)+5(x-9)=2(x+8)-(2x+5)$

$⟹$ $-x+5+5x-45=2x+16-2x-5$ ...[By Distribution Law]

$⟹$ $4x-40=11$ ....[Simplifying]

$⟹$ $4x=11+40$ ...[Adding $40$ on both sides]

$⟹$ $4x=51$

$⟹$ $x=\frac{51}{4}$.

Hence, option $C$ is correct.