Solve for $x$ : $42 x - 32 = 75 x + 4$

$- \frac{13}{11}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$- \frac{14}{11}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$- \frac{10}{11}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$- \frac{12}{11}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$- \frac{12}{11}$

The given equation is
$42 x - 32 = 75 x + 4$ .

Transposing $75 x$ from RHS to LHS and transposing $- 32$ from LHS to RHS, we have
$\Rightarrow 42 x - 75 x = 4 + 32$
$\Rightarrow - 33 x = 36$

Divide both the sides by $- 33$ , we get
$\Rightarrow x = \frac{36}{- 33} \Rightarrow x = - \frac{12}{11}$

So, the value of $x$ is $- \frac{12}{11}$ .

Suggest Corrections

Similar questions

4^{2 x} = \frac{1}{32}

Solve for x

( ³√4)^2x+1/2= 1/32

4 (2 x + 3)^{2} - (2 x + 3) - 14 = 0

Solve the equations for $x$ and $y$ .

$2 x - 3 y = 7$

$5 x + y = 9$

\frac{- 4 (2 x - 1)}{3 - x} = \frac{4}{7}

Join BYJU'S Learning Program