Penjelasan dengan langkah-langkah:
1) 2x - 1 = x/2 (kali 2)
2(2x - 1) = 2(x/2)
4x - 2 = x
4x - x = 2
3x = 2
x = 2/3
2) 1/2x - 1/3 = 1/3x + 3 (kali 6)
6(1/2x - 1/3) = 6(1/3x + 3)
3x - 2 = 2x + 18
3x - 2x = 18 + 2
x = 20
3) (x - 8)/3 = -5
x - 8 = -5 x 3
x - 8 = -15
x = -15 + 8
x = -7
1.)
[tex]2x -1=\frac{x}{2} \\\\2x-\frac{1}{2} x=1\\\\(\frac{4}{2}-\frac{1}{2} )x=1\\\\\frac{3}{2} x=1\\\\x=1\cdot \frac{2}{3} \\\\x=\frac{2}{3}[/tex]
2.)
[tex]\frac{1}{2} x-\frac{1}{3} =\frac{1}{3} x+3\\\\\frac{1}{2}x-\frac{1}{3}x=3+\frac{1}{3}\\\\(\frac{3}{6}-\frac{2}{6})x=\frac{9}{3}+\frac{1}{3}\\\\\frac{1}{6}x=\frac{10}{3}\\\\x=\frac{10}{3}\cdot \frac{6}{1} \\\\x=10\cdot 2\\\\x=20[/tex]
3.)
[tex]\frac{x-8}{3} =5\\\\x-8=5\cdot 3\\\\x-8=15\\\\x=15+8\\\\x=23[/tex]
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Verified answer
Penjelasan dengan langkah-langkah:
1) 2x - 1 = x/2 (kali 2)
2(2x - 1) = 2(x/2)
4x - 2 = x
4x - x = 2
3x = 2
x = 2/3
2) 1/2x - 1/3 = 1/3x + 3 (kali 6)
6(1/2x - 1/3) = 6(1/3x + 3)
3x - 2 = 2x + 18
3x - 2x = 18 + 2
x = 20
3) (x - 8)/3 = -5
x - 8 = -5 x 3
x - 8 = -15
x = -15 + 8
x = -7
1.)
[tex]2x -1=\frac{x}{2} \\\\2x-\frac{1}{2} x=1\\\\(\frac{4}{2}-\frac{1}{2} )x=1\\\\\frac{3}{2} x=1\\\\x=1\cdot \frac{2}{3} \\\\x=\frac{2}{3}[/tex]
2.)
[tex]\frac{1}{2} x-\frac{1}{3} =\frac{1}{3} x+3\\\\\frac{1}{2}x-\frac{1}{3}x=3+\frac{1}{3}\\\\(\frac{3}{6}-\frac{2}{6})x=\frac{9}{3}+\frac{1}{3}\\\\\frac{1}{6}x=\frac{10}{3}\\\\x=\frac{10}{3}\cdot \frac{6}{1} \\\\x=10\cdot 2\\\\x=20[/tex]
3.)
[tex]\frac{x-8}{3} =5\\\\x-8=5\cdot 3\\\\x-8=15\\\\x=15+8\\\\x=23[/tex]