Question

solve for x and check your answer
$\frac{1 - 2x}{7} - \frac{2 - 3x}{8} = \frac{3}{2 } + \frac{x}{4}$
please tell​

Answer 1

${ \mathfrak{ \huge{Question}}} \:$

${ \bold{ \dfrac{1 - 2x}{7} - \dfrac{2 - 3x}{8} = \dfrac{3}{2} + \dfrac{x}{4} } }$

Answer-:

${ \bold{ = > \dfrac{8(1 - 2x) - 7(2 - 3x)}{56} = \dfrac{3 \times 2 + x}{4} }}$

${ \bold{ = > \dfrac{8 - 16x - 14 + 21x}{56} = \dfrac{6 + x}{4} } }$

${ \bold{ = > \dfrac{5x - 6}{56} = \dfrac{6 + x}{4} } }$

${ \bold{ = > 4(5x - 6) = 56(6 + x)}}$

${ \bold{ = > 20x - 24 = 336 + 56x}}$

${ \bold{ = > 20 x- 56x = 336 + 24}}$

${ \bold{ = > - 36x = 360}}$

${ \bold{ \huge{ \boxed{x = - \dfrac { 360}{36} }}}}$

${\huge{\boxed{\bold{x=-10}}}} \:$

Answer 2

$\huge\bf{Answer:-}$

Refer the attachment.