Question

1. 10+5(x-3)=3(x+1)

2. 2(1+x)-3(x-1)-6=x-11

3. 3x-(x+1)=x-2

4. 5(x-1)+10(x+2)=45

5. -5(2-x)+3(2x+4)=(4x-2)•5

Answer 1

Respuesta:

$1)10 +5 (x - 3) = 3(x + 1) \\ 10 + 5x - 15 = 3x + 3 \\ - 5 + 5x = 3x + 3 \\ 5x - 3x = 3 + 5 \\ 2x = 8 \\ x = 4$

$2)2(1 + x) - 3(x - 1) - 6 = x - 11 \\ 2 + 2x - 3x + 3 - 6 = x - 11 \\ - 1 - x = x - 11 \\ - 1 + 11 = x + x \\ 10 = 2x \\ 5 = x$

$3)3x - (x + 1) = x - 2 \\ 3x - x - 1 = x - 2 \\ 2x - 1 = x - 2 \\ 2x - x = - 2 + 1 \\ x = - 1$

$4)5(x - 1) + 10(x + 2) = 45 \\ 5x - 5 + 10x + 20 = 45 \\ 15x + 15 = 45 \\ 15x = 45 - 15 \\ 15x = 30 \\ x = 2$

$5) - 5(2 - x) + 3(2x + 4) = (4x- 2) \times 5 \\ - 10 + 5x + 6x + 12 = 20x - 10 \\ 2 + 11x = 20x - 10 \\ 2 + 10 = 20x - 11x \\ 12 = 9x \\ \frac{12}{9} = x \\ \frac{4}{3} = x$