Question

10 Resuelvan las siguientes ecuaciones.
a.3.(x + 5) +6=7-2.(x - 2)
b. 6x-3.12 -5x) + 8 = 8. (x-3)
c. 7.(x + 5) + 7 = 3x - 2.(4x - 3)

Answer 1

Explicación paso a paso:

1. $3(x + 5) + 6 = 7 - 2(x - 2) \\ 3x + 15 + 6 = 7 - 2x + 4 \\ 3x + 21 = 11 - 2x \\ 3x + 2x = 11 - 21 \\ 5x = 10 \\ x = \frac{10}{5} \\ x = 2$
2. $6x - 3(12 - 5x) + 8 = 8(x - 3) \\ 6x - 36 - 15x + 8 = 8x - 24 \\ - 9x - 28 = 8x - 24 \\ - 9x - 8x = - 24 + 28 \\ - 17x = 4 \\ x = \frac{ 4}{ - 17} \\ x =- \frac{4}{17}$
3. $7(x + 5) + 7 = 3x - 2(4x - 3) \\ 7x + 35 + 7 = 3x - 8x + 6 \\ 7x + 42 = - 5x + 6 \\ 7x + 5x = 6 - 42 \\ 12x = 36 \\ x = \frac{36}{12} \\ x = 3$