1)
5x+7=3x+18 /-7
5x=3x+11
3x+11=5x /-3x
11=2x
2x=11 /:2
x=5.5
2)
2(x+2)=5(x-1)
2x+4=5x-5 /-2x
4=3x-5
3x-5=4 /+5
3x=9 /:3
x=3
3)
2(x-6)=28-2x
2x-12=28-2x /+2x
4x-12=28 /+12
4x=40 /:4
x=10
4)
2x+3-(6-5x)=3x+7
2x+3-6+5x=3x+7
7x-3=3x+7 /+3
7x=3x+10
3x+10=7x /-3x
10=4x
4x=10 /:4
x=2.5
5)
5x=2(7-x)-(14-3x)
5x=14-2x-14+3x
5x=0-2x+3x
5x=0+1x
0+1x=5x /-1x
0=4x
6)
7(3-2x)-(3-4x)=2x-(4x+6)
21-14x-3+4x=2x-4x-6
18-10x=-2x-6 /+6
24-10x=-2x /+10x
24=8x
8x=24/:8
x=3
7)
7+3x=4x-(2x-2)
7+3x=4x-2x+2/-3x
7=-x+2
-x+2=7 /-2
-x=5
x= -5
8)
[tex] \frac{3x + 1}{5} = \frac{x - 1}{10} \: \: ( \times 10 \\ 6x + 2 = x - 1 \\ 6x = x - 3 \\ x - 3 = 6x \\ 5x = - 3 \\ x = - 0.6 \\ [/tex]
[tex] 9) \\ \frac{2x - 7}{3} = \frac{3x + 2}{4} \: \: ( \times 12 \\ 8x - 28 = 9x + 6 \\ - 28 = x + 6 \\ x = - 34 \\[/tex]
[tex]10) \frac{5x - 2}{2} - \frac{3x - 1}{3} = 1 \: \: ( \times 6 \\ 15x - 6 - 6x + 2 = 1 \\ 9x - 4 = 1 \\ 9x = 5 \\ x = \frac{5}{9} [/tex]
