a)
-3x-8=4 /+8
-3x=12 /:(-3)
x= -4
b)
2x+5=6 /-5
2x=1 /:2
x=0.5
c)
3x-2=x+10 /+2
3x=x+12 /-x
2x=12 /:2
x=6
d)
4(x-2)=3(2x+5)
4x-8=6x+15 /-4x
-8=2x+15
2x+15=-8 /-15
2x= -23 /:2
x= -11.5
e)
5x-3(x+4)=2(x-6)
5x-3x-12=2x-12
2x-12=2x-12 /+12
2x=2x-0
2x=2x
x=1
f)
0.8-0.2x=0.5 /-0.8
-0.2x=-0.3 /:(-0.2)
x=1.5
g)
0.3x+0.35=0.4-0.2x /-0.35
0.3x=0.05-0.2x /+0.2x
0.6x=0.05 /:0.6
x=1/12
h)
[tex] \frac{3x + 2}{3} = \frac{2x - 1}{5} + x \: \: \: ( \times 15 \\ 15x + 10 = 6x - 3 + 15x \\ 15x = 21x - 13 \\ - 6x = - 13 \\ x = 2\frac{1}{6} \\ [/tex]
[tex]i) \: \: \frac{x - 5}{2} - \frac{2x + 1}{4} = \frac{1}{8}x \: \: \: \: ( \times 8 \\ 4x - 20 - 4x - 4 = 1x \\ x = - 24 \\ [/tex]
[tex]j) \: \: \frac{x}{4} - \frac{3x - 2}{3} = - x + 1 \: \: ( \times 12 \\ 3x - 12x + 8 = - 12x + 12 \\ - 9x + 8 = - 12x + 12 \\ 3x = 4 \\ x = 1\frac{1}{3} [/tex]
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