SOLUTION: Please help me solve this equations 1. 12+(x-9)=3(x-2) 2. 1/5x-2=2/5x+4 3.2x-3(x+4)=2(x-5) 4.3/7x+5=5/7x-1 5. 2x-7(x-2)=3(x-4)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve this equations 1. 12+(x-9)=3(x-2) 2. 1/5x-2=2/5x+4 3.2x-3(x+4)=2(x-5) 4.3/7x+5=5/7x-1 5. 2x-7(x-2)=3(x-4)       Log On


   

Question 70869: Please help me solve this equations
1. 12+(x-9)=3(x-2)
2. 1/5x-2=2/5x+4
3.2x-3(x+4)=2(x-5)
4.3/7x+5=5/7x-1
5. 2x-7(x-2)=3(x-4)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1.
12 + (x-9) = 3(x-2)
12 + x - 9 = 3x - 6; multiply what's inside the brackets, remove the brackets
x + 3 = 3x - 6
x - 3x = - 6 - 3
-2x = -9
2x = + 9; multiplied equation by -1
x = 9/2
x = 4.5
:
Check by substitution for 4.5 for x
12 - 4.5 = 3(2.5)
7.5 = 7.5
:
:
2.
(1/5)x - 2 = (2/5)x + 4
5(1/5)x - 5(2) = 5(2/5)x + 5(4); multiply by 5 get rid of the denominators
x - 10 = 2x + 20
x - 2x = 20 + 10
-x = 30
x = -30; multiplied equation by -1
:
Check: -6 - 2 = -12 + 4
:
:
3.
2x - 3(x+4) = 2(x-5)
2x - 3x - 12 = 2x - 10; multiplied what's inside the brackets
2x - 3x - 2x = -10 + 12
-3x = 2
3x = -2
x = -2/3
:
Check:
-4/3 - 3(10/3) = 2(-17/3)
-4/3 - 30/3 = -34/3
:
:
4.
(3/7)x + 5 = (5/7)x - 1
:
Multiply equation by 7 and you have:
3x + 35 = 5x - 7
3x - 5x = - 7 - 35
-2x = -42
2x = 42; multiplied by -1
x = 42/2
x = 21
:
Check: 9 + 5 = 15 - 1
:
:
5.
2x - 7(x-2) = 3(x-4)
2x - 7x + 14 = 3x - 12
2x - 7x - 3x = -12 - 14
-8x = -26
8x = 26
x = 26/8 or 13/4
:
Check using decimal 13/4 = 3.25
6.5 - 7(1.25) = 3(.75)
6.5 - 8.75 = -2.25
:
can you do these by yourself now?