Question

3(x-3)=4(2x+1) solve​

Answer 1

Answer:

x= -2

Step-by-step explanation:

3(x-3)=4(2x+1)

3x-9=8x +1

3x-8x = 1+9

-5x =10

x= 10/-5

therefore

x= -2

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Answer 2

Distribute

$3(−3)=4(2+1)$

$3−9=4(2+1)$

Distribute

$3−9=4(2+1)$

$3−9=8+4$

$\sf{Add  \: </p><p></p><p>9</p><p></p><p>99 \</p><p></p><p> to \: both \: sides \: of \: the \: equation}$

$3−9=8+4$

$3−9+9=8+4+9$

$\sf{Simplify} \\ \sf{</p><p></p><p>Add \: the \: numbers} \\ \sf{</p><p>Add \: the \: numbers}\\ </p><p> \sf{</p><p>3=8+13}</p><p></p><p>$

Subtract

8

8x

8x

from both sides of the equation

$3=8+13</p><p></p><p>3x=8x+13 \\ 3x=8x+13 \\ </p><p></p><p>3−8x=8x+13−8x</p><p></p><p>$

$\sf{Simplify} \\ \sf{</p><p></p><p>Combine \: like \: terms} \\ \sf{</p><p></p><p>Combine \: like \: terms} \\ \sf</p><p></p><p>−5=13</p><p></p><p>$

$\sf{Divide \: both \: sides \: of \: the \: equation \: by \: the \: same \: term} \\ \sf</p><p></p><p></p><p></p><p>$

$−5=13$

$\sf \frac{ - 5x} {15} = \color{purple} \frac{13}{ - 5}$

$\sf{Simplify} \\ </p><p></p><p> \sf{Cancel \: terms \: that \: are \: \: in \: both \: the \: numerator \: and \: denominator} \\ \sf{</p><p></p><p>Divide \: the \: numbers} \\ </p><p></p><p>x = - \frac {13 }{5} </p><p></p><p></p><p>$

ANSWER:-

$\huge \color{purple}{x = - \frac {13 }{5} }$