Explicación paso a paso:
1)
[tex] \frac{2x - 3}{2} = \frac{x - 1}{5} \\ 10x - 15 = 2x - 2 \\ 8x = 13 \\ x = \frac{13}{8} [/tex]
2)
[tex]5x + (2x + 3) = 7x - (5 - x) \\ 5x + 2x + 3 = 7x - 5 + x \\ 7x - 7x - x = - 8 \\ x = 8[/tex]
3)
[tex]4x + 2 - x = x - 3 + 2x \\ 3x = 3x - 5 \\ 0 = - 5[/tex]
4)
[tex]4x - 4 = x - 16 \\ 3x = - 12 \\ x = - 4[/tex]
5)
[tex]3(x - 1) - 4(5 - x) = 2(6 + x) \\ 3x - 3 - 20 + 4x = 12 + 2x \\ 7x - 23 = 12 + 2x \\ 5x = 35 \\ x = 7[/tex]
6)
[tex]x(x + 3) = (x - 2)(x - 4) \\ {x}^{2} + 3x = {x}^{2} - 4x - 2x + 8 \\ 3x + 6x = 8 \\ 9x = 8 \\ x = \frac{8}{9} [/tex]
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Verified answer
Explicación paso a paso:
1)
[tex] \frac{2x - 3}{2} = \frac{x - 1}{5} \\ 10x - 15 = 2x - 2 \\ 8x = 13 \\ x = \frac{13}{8} [/tex]
2)
[tex]5x + (2x + 3) = 7x - (5 - x) \\ 5x + 2x + 3 = 7x - 5 + x \\ 7x - 7x - x = - 8 \\ x = 8[/tex]
3)
[tex]4x + 2 - x = x - 3 + 2x \\ 3x = 3x - 5 \\ 0 = - 5[/tex]
4)
[tex]4x - 4 = x - 16 \\ 3x = - 12 \\ x = - 4[/tex]
5)
[tex]3(x - 1) - 4(5 - x) = 2(6 + x) \\ 3x - 3 - 20 + 4x = 12 + 2x \\ 7x - 23 = 12 + 2x \\ 5x = 35 \\ x = 7[/tex]
6)
[tex]x(x + 3) = (x - 2)(x - 4) \\ {x}^{2} + 3x = {x}^{2} - 4x - 2x + 8 \\ 3x + 6x = 8 \\ 9x = 8 \\ x = \frac{8}{9} [/tex]