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Solving Equations with Variable on Both Sides

If 3 x+5/4+1=...

Question

If $\frac{3 x + 5}{4} + 1 = \frac{x + 3}{6}$ , then the value of ' $x$ ' is

A

3

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B

- 3

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C

6

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D

- 6

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Solution

The correct option is B - 3
$\frac{3 x + 5}{4} + 1 = \frac{x + 3}{6}$
On multiplying both sides of the equation by 12, [ $∵$ LCM of 4 and 6 is 12]
we get
$\Rightarrow 12 [\frac{3 x + 5}{4} + 1] = 12 [\frac{x + 3}{6}] \Rightarrow 3 (3 x + 5) + 12 = 2 (x + 3) \Rightarrow 9 x + 15 + 12 = 2 x + 6 \Rightarrow 9 x + 27 = 2 x + 6 \Rightarrow 9 x - 2 x = 6 - 27 \Rightarrow 7 x = - 21 \Rightarrow x = - \frac{21}{7} \Rightarrow x = - 3$

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Similar questions

$If \frac{3 x + 5}{4} + 1 = \frac{x + 3}{6}, then find the value of x .$

x = tan (22.5)^{\circ},

then the value of

x^{4} + 3 x^{3} - 3 x^{2} - 9 x + 6

∣ ∣ ∣ ∣ ∣ \begin{matrix} 2 x^{2} + x & 3 x - 5 & 4 x + 3 x + 5 & - x^{2} & 6 x - 6 2 x - 3 & 5 x + 6 & - 3 x \end{matrix} ∣ ∣ ∣ ∣ ∣ = a x^{5} + b x^{4} + c x^{3} + d x^{2} + e x + f \forall x \in R,

then the value of

f

\frac{3 x - 1}{4} - \frac{2 x + 5}{3} = \frac{5}{2} - 2 x,

then the value of x is equal to :

3 (x + 5) - (x + 2) = 2 x - 3 x + 4

, then find the value of

x

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