If $2 x - (3 x - 4) = 3 x - 5$ , then $x$ equals:

\frac{4}{9}

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\frac{9}{4}

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\frac{3}{2}

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\frac{2}{3}

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Solution

The correct option is B $\frac{9}{4}$
Given, $2 x - (3 x - 4) = 3 x - 5$
$\Rightarrow 2 x - 3 x + 4 = 3 x - 5$ ...[By Distribution Law]
$\Rightarrow - x + 4 = 3 x - 5$ .

Transpose $x$ terms on one side, we get,
$\Rightarrow$ $3 x + x = 4 + 5$
$\Rightarrow 4 x = 9$ .

On dividing $4$ on both the sides, we get,
$\Rightarrow$ $x = \frac{9}{4}$ .

Hence, option $B$ is correct.

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Similar questions

Choose the correct answer

If 2x − (3x − 4) = 3x − 5, then x equals:

A. 4/9

B. 9/4

C. 3/2

D. 2/3

Q. Check the equality of the following determinant:

∣ ∣ ∣ ∣ \begin{matrix} x - 2 & 2 x - 3 & 3 x - 4 x - 4 & 2 x - 9 & 3 x - 16 x - 8 & 2 x - 27 & 3 x - 64 \end{matrix} ∣ ∣ ∣ ∣ = 0

Q. If

∣ ∣ ∣ ∣ \begin{matrix} x + 2 & 2 x + 3 & 3 x + 4 2 x + 3 & 3 x + 4 & 4 x + 5 3 x + 5 & 5 x + 8 & 10 x + 17 \end{matrix} ∣ ∣ ∣ ∣ = 0

then

x

is equal to

Q. Find the value of x if

∣ ∣ ∣ ∣ \begin{matrix} x - 2 & 2 x - 3 & 3 x - 4 x - 4 & 2 x - 9 & 3 x - 16 x - 8 & 2 x - 27 & 3 x - 64 \end{matrix} ∣ ∣ ∣ ∣ = 0

Solve :

$(i) \frac{1}{3} x - 6 = \frac{5}{2} (i i) \frac{2 x}{3} - \frac{3 x}{8} = \frac{7}{12} (i i i) (x + 2) (x + 3) + (x - 3) (x - 2) - 2 x (x + 1) = 0 (i v) \frac{1}{10} - \frac{7}{x} = 35 (v) 13 (x - 4) - 3 (x - 9) - 4 (x + 4) = 0 (v i) x + 7 - \frac{8 x}{3} = \frac{17 x}{6} - \frac{5 x}{8} (v i i) \frac{3 x - 2}{4} - \frac{2 x + 3}{3} = \frac{2}{3} - x (v i i i) \frac{x + 2}{6} - (\frac{11 - x}{3} - \frac{1}{4}) = \frac{3 x - 4}{12} (i x) \frac{2}{5 x} - \frac{5}{3 x} = \frac{1}{15} (x) \frac{x + 2}{3} - \frac{x + 1}{5} = \frac{x - 3}{4} - 1 (x i) \frac{3 x - 2}{3} + \frac{2 x + 3}{2} = x + \frac{7}{6} (x i i) x - \frac{x - 1}{2} = 1 - \frac{x - 2}{3} (x i i i) \frac{9 x + 7}{2} - (x - \frac{x - 2}{7}) = 36 (x i v) \frac{6 x + 1}{2} + 1 = \frac{7 x - 3}{3}$

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If 2x−(3x−4)=3x−5, then x equals:

The correct option is B 94Given, 2x−(3x−4)=3x−5⇒2x−3x+4=3x−5 ...[By Distribution Law]⇒−x+4=3x−5.Transpose x terms on one side, we get,⇒ 3x+x=4+5⇒4x=9.On dividing 4 on both the sides, we get,⇒x=94.Hence, option B is correct.

If $2 x - (3 x - 4) = 3 x - 5$ , then $x$ equals: