Решите уравнение а)1/3x+1=2-1/6x б)2-1/5x=1/15x-2 в)1/4x-3=1/8x+5 г)1/21x+84=85+1/7x

А.[latex] \frac{1}{3}*x+1= 2- \frac{1}{6}*x[/latex] [latex] \frac{1}{3}*x+\frac{1}{6}*x= 2+1[/latex] Приводим к общему знаменателю: [latex] \frac{2}{6}*x+\frac{1}{6}*x= 3[/latex] [latex] \frac{3}{6}*x= 3[/latex] Отсюда х=6. Б. [latex]2- \frac{1}{5}*x=\frac{1}{15}*x-2[/latex] [latex]2+2 =\frac{1}{5}*x+\frac{1}{15}*x[/latex] Приводим в общему знаменателю: [latex]\frac{3}{15}*x+\frac{1}{15}*x=4[/latex] [latex] \frac{4}{15}*x=4 [/latex] Отсюда х=15 В. [latex]\frac{1}{4}*x-3= \frac{1}{8}*x+5[/latex] [latex] \frac{1}{4}*x-\frac{1}{8}*x=5+3[/latex] [latex]\frac{2}{8}*x-\frac{1}{8}*x=8[/latex] [latex] \frac{1}{8}*x=8 [/latex] х=64 Г. [latex] \frac{1}{21}*x+84=85+\frac{1}{7}*x [/latex] [latex] \frac{1}{21}*x-\frac{1}{7}*x =85-84[/latex] [latex]\frac{1}{21}*x-\frac{3}{21}*x =1[/latex] [latex]-\frac{2}{21}*x=1[/latex] [latex]x= -\frac{21}{2} [/latex]