Solve the following equations. Check your result in case. 2(x - 2… - Vidyadip

Question

Solve the following equations. Check your result in case.
2(x - 2) + 3(4x - 1) = 0

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Answer

2(x - 2) + 3(4x - 1) = 0
⇒ 2x - 4 + 12x - 3 = 0
⇒ 2x + 12x = 4 + 3 (By transposing)
⇒ 14x = 7
$\Rightarrow\text{x}=\frac{7}{14}=\frac{1}{2}$
Check: $\text{L.H.S}=2(\text{x}-2)+3(4\text{x}-1)$
$=2\Big(\frac{1}{2}-2\Big)+3\Big(4\times\frac{1}{2}-1\Big)$
$=2\times\Big(\frac{1-4}{2}\Big)+3(2-1)$
$=2\text{x}\Big(\frac{-3}{2}\Big)+3(1)$
$=-3+3=0=\text{R.H.S.}$
Hence $\text{x}=\frac{1}{2}$

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