Question

2x-7/12-4x+3/18=5x-6/9​

Answer 1

$2x-\frac{7}{12}-4x+\frac{3}{18}=5x-\frac{6}{9}|*36\\\\2x*36-\frac{36*7}{12}-4x*36+\frac{36*3}{18}=5x*36-\frac{36*6}{9}\\\\72x-3*7-144x+2*3=180x-4*6\\\\72x-21-144x+6=180x-24\\\\72x-144x-180x=-24+21-6\\\\-252x= -9\\\\x =-9:(-252)\\\\x= \frac{1}{28}$

Проверка:

$2*\frac{1}{28}-\frac{7}{12}-4*\frac{1}{28}+\frac{3}{18}=5*\frac{1}{28}-\frac{6}{9}\\\\\frac{2}{28}-\frac{7}{12} -\frac{4}{28} +\frac{3}{18}=\frac{5}{28}-\frac{6}{9}\\\\\frac{18}{252}-\frac{147}{252} -\frac{36}{252} +\frac{42}{252}=\frac{45}{252}-\frac{168}{252} \\\\-\frac{129}{252}-\frac{36}{252}+\frac{42}{252}=-\frac{123}{252} \\\\-\frac{165}{252}+\frac{42}{252}=-\frac{123}{252}\\\\-\frac{123}{252} =-\frac{123}{252}$