Question

solve the equation. 13/2 + 3/2(1-2x)= -4​

Answer 1

$\tt {\underline{ \underline{ \purple{✠Answer:-}}}}$

$\sf{ \frac{13}{2} + \frac{3}{2} (1 - 2x) = - 4}$

$\implies{ \tt{ \frac{13}{2} + \frac{3 - 6x}{2} = - 4}}$

$\implies \rm{ \frac{13 + 3 - 6x}{2} = - 4 }$

$\implies \tt{16 - 6x = - 4 \times 2}$

$\implies \sf{ - 6x = - 8 - 16}$

$\implies \tt{x = \cancel\frac{ - 24}{ - 6} }$

$\implies \bf{x = 4}$

$\therefore \text{The value of x is 4.}$

Answer 2

Step-by-step explanation:

$\bf \underline{Given-}$

$\rm{\frac { 13 } { 2 } + \frac { 3 } { 2 } ( 1 - 2 x ) = - 4}$

$\bf \underline{To\: find-}$

$\textsf{the value of x = ?}$

$\bf \underline{Solution-}$

$\textsf{Given expression,}$

$\rm{\frac { 13 } { 2 } + \frac { 3 } { 2 } ( 1 - 2 x ) = - 4}$

$\rm{{\implies}{\frac { 13 } { 2 } + \frac { 3 } { 2 } + \frac{3}{2} ( - 2)x = - 4}}$

$\rm{{\implies}{\frac { 13 } { 2 } + \frac{3}{2} + \frac{3( - 2)}{2} x = - 4}}$

$\rm{{\implies}{\frac { 13 } { 2 } + \frac{3}{2} + \frac{ - 6}{2} x = - 4}}$

$\rm{{\implies}{\frac { 13 } { 2 } + \frac{3}{2} \ - 3 x = - 4}}$

$\rm{{\implies}{\frac { 13 + 3} { 2 } \ - 3 x = - 4}}$

$\rm{{\implies}{\frac { 16} { 2 } \ - 3 x = - 4}}$

$\rm{{\implies}{8 \ - 3 x = - 4}}$

$\rm{{\implies}{- 3 x = - 4 - 8}}$

$\rm{{\implies}{- 3 x = - 12}}$

$\rm{{\implies}{x = \frac{ \cancel- 12}{ \cancel- 3} }}$

$\rm{{\implies}{ \cancel \frac{12}{3} }}$

$\rm{{\implies}{4}}$

$\bf \underline{Hence, the\: value\: of \: X \: is \: 4.}$