SOLUTION: 5x+30+10x=90

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Question 214994: 5x+30+10x=90
Found 2 solutions by drj, jim_thompson5910:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2B30%2B10x=90

The following steps will solve the above equation.

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


YOUR ANSWER


  • This is an equation! Solutions: x=4.
  • Graphical form: Equation 5x%2B30%2B10x=90 was fully solved.
  • Text form: 5x+30+10x=90 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+5x%2B30%2B10x=90+%29
    For tutors: simplify_cartoon( 5x+30+10x=90 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 5%2Ax%2Bhighlight_red%28+30+%29%2B10%2Ax=90.
Moved 30 to the right of expression
It becomes 5%2Ax%2B10%2Ax%2Bhighlight_green%28+30+%29=90.
Look at highlight_red%28+5%2Ax+%29%2Bhighlight_red%28+10%2Ax+%29%2B30=90.
Eliminated similar terms highlight_red%28+5%2Ax+%29,highlight_red%28+10%2Ax+%29 replacing them with highlight_green%28+%285%2B10%29%2Ax+%29
It becomes highlight_green%28+%285%2B10%29%2Ax+%29%2B30=90.
Look at %28highlight_red%28+5+%29%2Bhighlight_red%28+10+%29%29%2Ax%2B30=90.
Added fractions or integers together
It becomes %28highlight_green%28+15+%29%29%2Ax%2B30=90.
Look at highlight_red%28+%28highlight_red%28+15+%29%29%2Ax+%29%2B30=90.
Remove unneeded parentheses around factor highlight_red%28+15+%29
It becomes highlight_green%28+15+%29%2Ax%2B30=90.
Look at 15%2Ax%2B30=highlight_red%28+90+%29.
Moved these terms to the left highlight_green%28+-90+%29
It becomes 15%2Ax%2B30-highlight_green%28+90+%29=0.
Look at 15%2Ax%2Bhighlight_red%28+30+%29-highlight_red%28+90+%29=0.
Added fractions or integers together
It becomes 15%2Ax%2Bhighlight_green%28+-60+%29=0.
Look at 15%2Ax%2Bhighlight_red%28+-60+%29=0.
Removed extra sign in front of -60
It becomes 15%2Ax-highlight_green%28+60+%29=0.
Look at highlight_red%28+15%2Ax-60+%29=0.
Solved linear equation highlight_red%28+15%2Ax-60=0+%29 equivalent to 15*x-60 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=4.

Universal Simplifier and Solver


Done!



The answer is x=4


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

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x%2B30%2B10x=90 Start with the given equation.


15x%2B30=90 Combine like terms on the left side.


15x=90-30 Subtract 30 from both sides.


15x=60 Combine like terms on the right side.


x=%2860%29%2F%2815%29 Divide both sides by 15 to isolate x.


x=4 Reduce.


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Answer:

So the solution is x=4