Explicație pas cu pas:
a)
[tex]2x+0,3=0,25 \\ 2x = 0,25 - 0,3 \\ 2x = - 0,05 \\ x = - 0,05 \div 2 \\ x = - 0,025[/tex]
b)
[tex]3x+ \frac{1}{2} =0,4 \\ 3x = \frac{4}{10} - \frac{1}{2} \\ 3x = - \frac{1}{10} \\ x = - \frac{1}{10} \div 3 \\ x = - \frac{1}{30} [/tex]
c)
[tex](x-3): \frac{2}{3} = 0,(6) \\ (x-3) \times \frac{3}{2} = \frac{6}{9} \\ x - 3 = \frac{2}{3} \times \frac{2}{3} \\ x = \frac{4}{9} + 3 = 3 \frac{4}{9} [/tex]
d)
[tex]2 \frac{3}{7}-x= - \frac{9}{14} \\ \frac{17}{7} - x = - \frac{9}{14} \\ x =\frac{17}{7} + \frac{9}{14} \\ x = \frac{34 + 9}{14} \\ x = \frac{43}{14} = 3 \frac{1}{14} [/tex]
e)
[tex]1 \frac{1}{2} x - 0.5 = ( - \frac{3}{2} )^{2} \\ \frac{3x}{2} - \frac{1}{2} = \frac{9}{4} \\ \frac{3x - 1}{2} = \frac{9}{4} \\ 3x - 1 = \frac{9}{2} \\ 3x = \frac{9}{2} + 1 \\ 3x = \frac{11}{2} \\ x = \frac{11}{6} = 1 \frac{5}{6} [/tex]
f)
[tex] \frac{5}{6} x = - 2 \frac{3}{4} - x \\ \frac{5x}{6} = - \frac{11}{4} - x \\ 10x = - 33 - 12x \\ 10x + 12x = - 33 \\ 22x = - 33 \\ x = - \frac{33}{22} \\ x= - \frac{3}{2} = - 1 \frac{1}{2} [/tex]
