SOLUTION: I need help with solving these equations can someone please show me how to solve them thank you solving equations, 1. 7 - 3(5 - x) = 5(x - 4) 2. 1/3x - 3 = 1/2x

Algebra ->  Real-numbers -> SOLUTION: I need help with solving these equations can someone please show me how to solve them thank you solving equations, 1. 7 - 3(5 - x) = 5(x - 4) 2. 1/3x - 3 = 1/2x       Log On


   

Question 176250: I need help with solving these equations can someone please show me how to solve them thank you
solving equations,
1. 7 - 3(5 - x) = 5(x - 4)
2. 1/3x - 3 = 1/2x
Found 2 solutions by EMStelley, MathTherapy:
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
Number 1:
7-3%285-x%29=5%28x-4%29
The goal here is to solve for x. Let's start by distributing through the -3 on the left hand side and the 5 on the right hand side:
7-3%285%29-3%28-x%29=5%28x%29%2B5%28-4%29
7-15%2B3x=5x-20
-8%2B3x=5x-20
Now, subtract 3x from both sides:
-8=2x-20
Add 20 to both sides:
12=2x
Last, divide both sides by 2:
6=x
For the second one:
%281%2F3%29x-3=%281%2F2%29x
The first thing we need to do is to combine the x's, so let's subtract (1/3)x from both sides:
-3=%281%2F2%29x-%281%2F3%29x
In order to subtract on the right hand side, we need a common denominator between 2 and 3, which is 6, so we can rewrite it as:
-3=%283%2F6%29x-%282%2F6%29x or
-3=%281%2F6%29x
Last, we need to get rid of the 1/6, so we divide both sides by it (which is the same as multiplying both sides by 6/1, so we get that
-18=x

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
1. 7 - 3(5 - x) = 5(x - 4)
7 - 15 + 3x = 5x - 20
- 2x = - 12
x = 6

2. 1/3x - 3 = 1/2x
2x - 18 = 3x
- x = 18
x = - 18