Решите уравнения:
1) 7x/6 - 5x/18 = 4/27
2) 2x/7 + x/4 = 15/14
3) -x/8 + 1 = x/12
4) (2x+3)/5 + (3x-1)/2 = 2x

1)

\[\frac{7x}{6}-\frac{5x}{18}=\frac{4}{27}\]

\[\frac{21x-5x}{18}=\frac{4}{27}\]

\[\frac{8x}{9}=\frac{4}{27}\]

\[x=\frac{1}{6}\]

2)

\[\frac{2x}{7}+\frac{x}{4}=\frac{15}{14}\]

\[\frac{8x+7x}{28}=\frac{15}{14}\]

\[\frac{15x}{28}=\frac{15}{14}\]

\[x=2\]

3)

\[-\frac{x}{8}+1=\frac{x}{12}\]

\[-3x+24=2x\]

\[24=5x\]

\[x=\frac{24}{5}\]

4)

\[\frac{2x+3}{5}+\frac{3x-1}{2}=2x\]

\[2(2x+3)+5(3x-1)=20x\]

\[4x+6+15x-5=20x\]

\[x=1\]

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