Question

Problemas de ecuación
Ayuda porfa
Con explicación adicional ​

Answer 1

$A)10x - 10 = 5(x + 2) \\ 10x - 10 = 5x + 10 \\ 10x - 5x = 10 + 10 \\ 5x = 20 \\ x = \frac{20}{5} \\ x = 4$

$B) 4(x + 5) = 2x + 34 \\ 4x + 20 = 2x + 34 \\ 4x - 2x = 34 - 20 \\ 2x = 14 \\ x = 7$

$C) 10(x + 2) = 8x + 22 \\ 10x + 20 = 8x + 22 \\ 10x - 8x = 22 - 20 \\ 2x = 2 \\ x = 1$

$D) 5(x + 4) = 3(x + 10) - 8 \\ 5x + 20 = 3x + 30 - 8 \\ 5x + 20 = 3x + 22 \\ 5x - 3x = 22 - 20 \\ 2 x= 2 \\ x = 1$

$E) x + 19 = 2(x + 6) \\ x + 19 = 2x + 12 \\ 19 - 12 = 2x - x \\ 7 = x$

$F )4(x + 10) = 2(x + 22) \\ 4x + 40 = 2x + 44 \\ 4x - 2x = 44 - 40 \\ 2x = 4 \\ x = 2$

$G) 6(x + 5) = 7x + 25 \\ 6x + 30 = 7x + 25 \\ 30 - 25 = 7x - 6x \\ 5 = x$

$H) 7(x + 4) = 5(x + 6) + 6 \\ 7x + 28 = 5x + 30 + 6 \\ 7x + 28 = 5x + 36 \\ 7x - 5x = 36 - 28 \\ 2x = 8 \\ x = 4$

$I )4(x + 2) = 20(x - 6) \\ 4x + 8 = 20x - 120 \\ 8 + 120 = 20x - 4x \\ 128 = 16x \\ \frac{128}{16} = x \\ 8 = x$

$J )5(x + 5) = 2x + 40 \\ 5x + 25 = 2x + 40 \\ 5x - 2x = 40 - 25 \\ 3x = 15 \\ x = 5$