Question

answer the following:
$\frac{5x}{6} = x - 2$
$8x - 11 - 5x + 3 = 2x + 4 - 3x$
$\frac{3x}{4} + \frac{x}{6} = 22$

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Answer 1

Answer:

Solution :-

$1)\longrightarrow$ $\dfrac{5x}{6} = x - 2$

$\Rightarrow$ $5x = 6 (x - 2)$

$\Rightarrow$ $5x = 6x - 12$

$\Rightarrow$ $5x - 6x = - 12$

$\Rightarrow$ $- x = - 12$

$\Rightarrow$ $x = 12$

$\therefore$ $\sf\: The\: answer\: of\: this\: question\: is\: x\: = 12$

$2)\longrightarrow$ $8x - 11 - 5x + 3 = 2x + 4 - 3x$

$\Rightarrow$ $8x - 5x - 11 + 3 = 2x - 3x + 4$

$\Rightarrow$ $3x - 8 = - x + 4$

$\Rightarrow$ $3x + x = 4 + 8$

$\Rightarrow$ $4x = 12$

$\Rightarrow$ $x =\cancel{\dfrac{12}{4}}$

$\Rightarrow$ $x = 3$

$\therefore$ $\sf\: The\: answer\: of\: this\: question\: is\: x\:= 3$

$3)\longrightarrow$ $\dfrac{3x}{4} + \dfrac{x}{6} = 22$

$\Rightarrow$$\dfrac{9x + 2x}{12} = 22$

$\Rightarrow$ $\dfrac{11x}{12} = 22$

$\Rightarrow$ $11x = 12 \times 22$

$\Rightarrow$ $11x = 264$

$\Rightarrow$ $x = \cancel{\dfrac{264}{11}}$

$\Rightarrow$ $x = 24$

$\therefore$ $\sf\: The\: answer\: of\: this\: question\: is\: x\: = 24$