Question

solve the equation and verify the result

$1.) \: \: \: \frac{x - 3}{5} + 2 = \frac{ x + 1}{10}$
$2.) \: \: 4(x + 3) = 5(2x - 3)$
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Answer 1

1

$\bold\color{red}</p><p>{ \frac{x - 3}{5} + 2 = \frac{x + 1}{10} }$

$\bold\color{red}</p><p>{ = > } \frac{ -x - 3 + 10}{5 } { = \frac{x + 1}{10} }$

$\bold\color{red}</p><p>{ = > 10x - 30 + 100 = 5x + 5}$

$\bold\color{red}</p><p>{ = > 10x - 5x = 5 + 30 - 100}$

$\bold\color{red}</p><p>{ = > 5x = - 65}$

$\bold\color{red}</p><p>{ = > x = \frac{ - 65}{5} }$

$\bold\color{red}</p><p>{x = - 13}$

$\bold\color{red}{LHS \:=\: \frac{ x-3}{5}+2}$

______________________

2

$\bold\color{red}</p><p>{4(x + 3) = 5(2x - 3)}$

$\bold\color{red}</p><p>{ = > 4x + 12 = 10x - 15}$

$\bold\color{red}</p><p>{ = > 4x - 10x = - 15 - 12}$

$\bold\color{red}</p><p>{ = > - 6x = - 27}$

$\bold\color{red}</p><p>{ = > x = \frac{ - 27}{ - 6} }$

$\bold\color{red}</p><p>{ = > x = \frac{9}{2} }$

$\bold\color{red}{js}$

Answer 2

Answer:

1.. x = -13

2 . x =9/2

See the attachment.