Question

Determ. solutiile ecuatiilor : a)+1+2(x-5)=5(x+1)

b) 3(2x+1)-10=2(x-3)+11

Answer 1

a)
1+2(x-5)=5(x+1)
1+2x-10=5x+5
1+2x=5x+15
2x=5x+14
0=3x+14
-3x=14
x=14/3

b)3(2x+1)-10=2(x-3)+11
6x+3-10=2x-6+11
6x-1=2x+11
4x=12
x=3

Answer 2

a) 1 + 2 (x - 5) = 5 (x + 1)
     1 + 2x - 10 = 5x + 5
     -9 + 2x = 5x + 5
     -9 + 2x - (5x + 5) = 0
     -9 + 2x - 5x - 5 = 0
     -14 - 3x = 0
     3x = -14, x = -14 / 3.

b) 3 (2x + 1) - 10 = 2 (x - 3) + 11
     6x + 3 - 10 = 2x - 6 + 11
     6x + (-7) = 2x + 5
     6x - 7 = 2x + 5
     6x - 7 - (2x + 5) = 0
     6x - 7 - 2x - 5 = 0
     4x - 12 = 0 , x = 3.