Question

2(x + 6) + 3(4x + 8) = 2x
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Answer 1

Step-by-step explanation:

$2(x + 6) + 3(4x + 8) = 2x$

$2x + 12 + 12x + 24 = 2x$

$12x + 36 = 0$

$6(2x + 6) = 0$

$2x + 6 = 0$

$2x = - 6$

$x = - 3$

Answer 2

2(x + 6) + 3(4x + 8) = 2x

• Distributive Property

⇒ 2x + 12 + 12x + 24

⇒ 2x + 12x + 12 + 24 = 2x

⇒ 14x + 36 = 2x

• On Transposing The Terms :

⇒ 14x - 2x = - 36

⇒ 12x = - 36

⇒ x = - 36/12

∴ x = - 3

• Checking

2(x + 6) + 3(4x + 8) = 2x

• BODMAS rule

⇒ 2(-3 + 6 ) + 3(4×-3 + 8) = 2(-3)

⇒ 2 × 3 + 3(-12 + 8) = - 6

⇒ 6 + 3 × - 4 = -6

⇒ 6 - 12 = - 6

∴ - 6 = -6

LHS = RHS

hence proved