Question

1. 2x - 3 + x = 10 - x + 5
2. 7 + 3x - 2 = - 2x + 20
3. 4x + 30 = 2x + 40
4. 9 - 3x + 15 = - 8x + 49
5. 5 + 2x - 10 + x = 2 - x + 10 - 4× - 1

Answer 1

Tenemos las ecuaciones lineales a resolver:

1.-  2x - 3 + x = 10 - x + 5

$2x-3+x=10-x+5\\\\3x-3=-x+15\\\\3x+x=15+3\\\\4x=18\\\\x=\frac{18}{4}\\\\x=\frac{9}{2}$

2.-  7 + 3x - 2 = - 2x + 20

$7+3x-2=-2x+20\\\\3x+5=-2x+20\\\\3x+2x=20-5\\\\5x=15\\\\x=\frac{15}{5} \\\\x=3$

3.-  4x + 30 = 2x + 40

$4x+30=2x+40\\\\4x-2x=40-30\\\\2x=10\\\\x=\frac{10}{2} \\\\x=5$

4.-  9 - 3x + 15 = - 8x + 49

$9-3x+15=-8x+49\\\\-3x+24=-8x+49\\\\-3x+8x=49-24\\\\5x=25\\\\x=\frac{25}{5}\\\\x=5$

5.-  5 + 2x - 10 + x = 2 - x + 10 - 4x - 1

$5+2x-10+x=2-x+10-4x-1\\\\3x-5=-5x+11\\\\3x+5x=11+5\\\\8x=16\\\\x=\frac{16}{8} \\\\x=2$