SOLUTION: in algebra can i have a example how to solve -5(2-w)=10

Question 970153: in algebra can i have a example how to solve -5(2-w)=10
Found 2 solutions by josh_jordan, ankor@dixie-net.com:
Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
There are two ways to solve -5(2 - w) = 10. For each way, the goal is to get w by itself on one side of the equal sign.

Way #1:

First, divide both sides of the equal sign by -5:

This will give us:

2 - w = -2

Next, subtract 2 from both sides:

2 - w - 2 = -2 - 2

This will give us:

-w = -4

Finally, divide both sides by -1, so that our w will not have a negative sign in front of it:

This will give us our final answer, which is

w = 4

Way #2:

Using the distributive property, we can multiply -5 by everything inside the parenthesis on the left side of our equation, which will give us

-10 + 5w = 10

Next, we can add 10 to both sides of the equation:

-10 + 5w + 10 = 10 + 10

This will give us

5w = 20

Finally, we can divide both sides of the equation by 5:

Giving us

w = 4

Either way will give you the correct answer of w = 4
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve -5(2-w)=10
distribute the -5
-10 + 5x = 10
add 10 to both sides
5x = 10 + 10
5x = 20
divide both sides by 5
x = 20/5
x = 4
:
:
Check the solution in the original equation, replace x with 4
-5(2 - 4) = 10
-5(-2) = 10
10 = 10, equality reigns, a good solution
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