SOLUTION: how do you solve for x and check the solution to the equation, -0.3 + x-5(x + 1/10)= -0.8 + 5(-x+0.1)

Algebra ->  Linear-equations -> SOLUTION: how do you solve for x and check the solution to the equation, -0.3 + x-5(x + 1/10)= -0.8 + 5(-x+0.1)      Log On


   

Question 221640: how do you solve for x and check the solution to the equation,

-0.3 + x-5(x + 1/10)= -0.8 + 5(-x+0.1)
Found 2 solutions by stanbon, drj:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how do you solve for x and check the solution to the equation,
-0.3 + x-5(x + 1/10)= -0.8 + 5(-x+0.1)
---
Multiply thru by 10 to get rid of some of the decimals:
-3 + 10x - 50(x + (1/10)) = -8 +50(-x + 0.1)
----
Modify:
-3 + 10x - 50x - 5 = -8 - 50x + 5
-------------
Combine:
-8 - 40x = -3 - 50x
-----------------
Add 50x to both sides; Add 8 to both sides:
10x = 5
x = 1/2
-------------------
Checking:
Substitute for "x" in the original equation to
see if you get a true statement.
=====================================
Cheers,
Stan H.

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How do you solve for x and check the solution to the equation,

-0.3+%2B+x-5%28x+%2B+1%2F10%29=+-0.8+%2B+5%28-x%2B0.1%29

Step 1. Multiply by 10 to both sides of the equation to get rid of the decimal point and denominator

-3%2B10x-50x-5%29=-8-50x%2B5

Step 2. Simplify as follows:

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=0.5.
  • Graphical form: Equation -3%2B10x-50x-5=-8-50x%2B5 was fully solved.
  • Text form: -3+10x-50x-5=-8-50x+5 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-3%2B10x-50x-5=-8-50x%2B5+%29
    For tutors: simplify_cartoon( -3+10x-50x-5=-8-50x+5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -highlight_red%28+3+%29%2B10%2Ax-50%2Ax-highlight_red%28+5+%29=-8-50x%2B5.
Added fractions or integers together
It becomes highlight_green%28+-8+%29%2B10%2Ax-50%2Ax=-8-50x%2B5.
Look at highlight_red%28+-8+%29%2B10%2Ax-50%2Ax=-8-50x%2B5.
Moved -8 to the right of expression
It becomes 10%2Ax-50%2Ax%2Bhighlight_green%28+-8+%29=-8-50x%2B5.
Look at 10%2Ax-50%2Ax%2Bhighlight_red%28+-8+%29=-8-50x%2B5.
Removed extra sign in front of -8
It becomes 10%2Ax-50%2Ax-highlight_green%28+8+%29=-8-50x%2B5.
Look at highlight_red%28+10%2Ax+%29-highlight_red%28+50%2Ax+%29-8=-8-50x%2B5.
Eliminated similar terms highlight_red%28+10%2Ax+%29,highlight_red%28+-50%2Ax+%29 replacing them with highlight_green%28+%2810-50%29%2Ax+%29
It becomes highlight_green%28+%2810-50%29%2Ax+%29-8=-8-50x%2B5.
Look at %28highlight_red%28+10+%29-highlight_red%28+50+%29%29%2Ax-8=-8-50x%2B5.
Added fractions or integers together
It becomes %28highlight_green%28+-40+%29%29%2Ax-8=-8-50x%2B5.
Look at %28highlight_red%28+-40+%29%29%2Ax-8=-8-50x%2B5.
Removed extra sign in front of -40
It becomes %28-highlight_green%28+40+%29%29%2Ax-8=-8-50x%2B5.
Look at highlight_red%28+%28-highlight_red%28+40+%29%29%2Ax+%29-8=-8-50x%2B5.
Remove unneeded parentheses around factor highlight_red%28+40+%29
It becomes -highlight_green%28+40+%29%2Ax-8=-8-50x%2B5.
Look at -40%2Ax-8=-highlight_red%28+8+%29-50%2Ax%2Bhighlight_red%28+5+%29.
Added fractions or integers together
It becomes -40%2Ax-8=highlight_green%28+-3+%29-50%2Ax.
Look at -40%2Ax-8=highlight_red%28+-3+%29-50%2Ax.
Moved -3 to the right of expression
It becomes -40%2Ax-8=-50%2Ax%2Bhighlight_green%28+-3+%29.
Look at -40%2Ax-8=-50%2Ax%2Bhighlight_red%28+-3+%29.
Removed extra sign in front of -3
It becomes -40%2Ax-8=-50%2Ax-highlight_green%28+3+%29.
Look at -40%2Ax-8=highlight_red%28+-50%2Ax-3+%29.
Moved these terms to the left highlight_green%28+50%2Ax+%29,highlight_green%28+3+%29
It becomes -40%2Ax-8%2Bhighlight_green%28+50%2Ax+%29%2Bhighlight_green%28+3+%29=0.
Look at -40%2Ax-highlight_red%28+8+%29%2B50%2Ax%2Bhighlight_red%28+3+%29=0.
Added fractions or integers together
It becomes -40%2Ax%2Bhighlight_green%28+-5+%29%2B50%2Ax=0.
Look at -40%2Ax%2Bhighlight_red%28+-5+%29%2B50%2Ax=0.
Moved -5 to the right of expression
It becomes -40%2Ax%2B50%2Ax%2Bhighlight_green%28+-5+%29=0.
Look at -40%2Ax%2B50%2Ax%2Bhighlight_red%28+-5+%29=0.
Removed extra sign in front of -5
It becomes -40%2Ax%2B50%2Ax-highlight_green%28+5+%29=0.
Look at -highlight_red%28+40%2Ax+%29%2Bhighlight_red%28+50%2Ax+%29-5=0.
Eliminated similar terms highlight_red%28+-40%2Ax+%29,highlight_red%28+50%2Ax+%29 replacing them with highlight_green%28+%28-40%2B50%29%2Ax+%29
It becomes highlight_green%28+%28-40%2B50%29%2Ax+%29-5=0.
Look at %28-highlight_red%28+40+%29%2Bhighlight_red%28+50+%29%29%2Ax-5=0.
Added fractions or integers together
It becomes %28highlight_green%28+10+%29%29%2Ax-5=0.
Look at highlight_red%28+%28highlight_red%28+10+%29%29%2Ax+%29-5=0.
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes highlight_green%28+10+%29%2Ax-5=0.
Look at highlight_red%28+10%2Ax-5+%29=0.
Solved linear equation highlight_red%28+10%2Ax-5=0+%29 equivalent to 10*x-5 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=0.5.

Universal Simplifier and Solver


Done!



Step 3. Check x=0.5 and substitute into original equation to see if you get a true statement.

-0.3+%2B+x-5%28x+%2B+1%2F10%29=+-0.8+%2B+5%28-x%2B0.1%29

-0.3%2B0.5-5%280.5%2B0.1%29=-0.8%2B5%28-0.5%2B0.1%29

-0.8%2B2-5%28-0.6%29=-0.8%2B%282.5%2B5%29

-0.8%2B3=-0.8%2B3

2.2=2.2 a true statement.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

drjctu@gmail.com

http://www.FreedomUniversity.TV
http://www.Facebook.com/FreedomUniversity.TV
http://www.Twitter.com/FreedomUTV