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

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

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) (Show Source): You can put this solution on YOUR website!
Number 1:

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:

Now, subtract 3x from both sides:

Add 20 to both sides:

Last, divide both sides by 2:

For the second one:

The first thing we need to do is to combine the x's, so let's subtract (1/3)x from both sides:

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:
or

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

Answer by MathTherapy(10552) (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

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