Question

me podeis ayudar, me hago un lío, para despejar la x​

Answer 1

Respuesta:

$a)8 - 5x = 8 + 2x \\ 8 - 8 = 2x + 5x \\ 0 = 7x \\ \frac{0}{7} = x \\ 0 = x$

$b) - 5(x - 3) + 8x = 6x - 5 + x \\ - 5x + 15 + 8x = 6x - 5 + x \\ 3x + 15 = 7x - 5 \\ 15 + 5 = 7x - 3x \\ 20 = 4x \\ 5 = x$

$c)15 - 6(2x - 4) = 8 + 2(5x - 1) \\ 15 - 12x + 24 = 8 + 10x - 2 \\ 39 - 12x = 6 + 10x \\ 39 - 6 = 10x + 12x \\ 33 = 22x \\ \frac{33}{22} = x \\ \frac{3}{2} = x$

$d)2 - (3x - 5) = 4 - 2x + 3 \\ 2 - 3x + 5 = 4 - 2x + 3 \\ 7 - 3x = 7 - 2x \\ 7 - 7 = - 2x + 3x \\ 0 = x$

$f) \frac{x + 1}{6} - \frac{x + 3}{4} = - 1 \\ 12( \frac{x + 1}{6} - \frac{x + 3}{4} ) = - 1 \times 12 \\ 2(x + 1) -3(x + 3) = - 12 \\ 2x + 2 - 3x - 9 = - 12 \\ - x - 7 = - 12 \\ - 7 + 12 = x \\ 5 = x$

$g) \frac{x - 3}{3} + \frac{2x - 1}{6} = 4 \\ 6( \frac{x - 3}{3} + \frac{2x - 1}{6} ) = 4 \times 6 \\ 2(x - 3) + (2x - 1) = 24 \\ 2x - 6 + 2x - 1 = 24 \\ 4x - 7 = 24 \\ 4x = 24 + 7 \\ 4x = 31 \\ x = \frac{31}{4}$