Question

$\huge\sf\orange{ solve \: this \: }$
$\huge\sf\orange{equation \: and }$
$\huge\sf\orange{verify \: your \: }$
$\huge\sf\pink{answer}$
$\frac{0.5x \: - \: 4}{2.4 \: x \: + \: 6} = \frac{ - 5}{3}$


​

Answer 1

Answer:

Valueofx=3−4

Step-by-step explanation:

\frac{0.5x-4}{2.4x+6}=\frac{-5}{3}2.4x+60.5x−4=3−5

\implies 3(0.5x-4) = -5(2.4x+6)⟹3(0.5x−4)=−5(2.4x+6)

\implies 3 × 0.5x - 3 × 4 = (-5)×2.4x - 5 × 6⟹3×0.5x−3×4=(−5)×2.4x−5×6

/* By Distributive property:

A(B+C) = A × B + A × C */

\implies 1.5x - 12 = -12x - 30⟹1.5x−12=−12x−30

\implies 1.5x +12x = -30 + 12⟹1.5x+12x=−30+12

\implies 13.5x = - 18⟹13.5x=−18

\implies \frac{135x}{10} = -18⟹10135x=−18

\implies x = -18 \times \frac{10}{135}⟹x=−18×13510

\implies x = \frac{-4}{3}⟹x=3−4

Therefore,

Value \: of \: x = \frac{-4}{3}Valueofx=3−4

Answer 2

Answer:

Valueofx=3-4

PLEASE MARK ME AS BRAINLIEST