Question

3(x-2)+2(x-3)=5(x-1)-7(x-4). find the value of x​

Answer 1

$\Large\underline{\blue{\mathfrak{Question:}}}$

$\dashrightarrow$ 3(x-2)+2(x-3)=5(x-1)-7(x-4). find the value of x.

$\Large \underline{\blue{\mathfrak{To\:Find:}}}$

$\: \: \: \: \: \: \:\:\:\:\:\: \bullet \: \sf{Value\:of\:x.}$

$\Large \underline{\blue{\mathfrak{Solution:}}}$

$\: \: \: : : \implies\sf{3(x-2)+2(x-3)=5(x-1)-7(x-4)}$

$\: \: \: \: \: \: : : \implies\sf{3x-6+2x-6=5x-5-7x + 28}$

$\: \: \: \: \: \: \: \: \: : : \implies \sf{5x - 12 = - 2x + 23}$

$\: \: \: \: \: \: \: \: \: \: \: \: : : \implies \sf{5x + 2x = 23 + 12}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : : \implies \sf{7x = 35}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : : \implies\sf{x =\cancel\frac{35}{7} }$

$\: \: \: \: \: \: \: \: \: \: \: \: : : \implies\sf{ x= 5}$

Thus,The value of x is 5.

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Answer 2

$\huge \sf \underline{Answer}:$
$\large \implies x = 5$
$\\ \\ \huge \sf \underline{Solution}:$
$\large \sf \underline{Given}:$
$\: \: \: ⇝ 3(x-2)+2(x-3)=5(x-1)-7(x-4)$
$\\ \large \sf \underline{To \: Find}:$
The value of x​
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\sf \implies 3(x-2)+2(x-3)=5(x-1)-7(x-4) \\ \implies \sf 3x-6+2x-6=5x-5-7x+28 \\ \implies \sf 5x -12 = -2x+23 \\ \implies 5x+2x=23+12 \\ \implies\sf 7x=35 \\ \implies \sf x=\cancel{\frac{35}{7}} \\ \sf \implies \boxed{x=5}$
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
Therefore,
The value of x is 5.
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