SOLUTION: 1x+.5+3x-2=3x+1.5

Algebra ->  Equations -> SOLUTION: 1x+.5+3x-2=3x+1.5      Log On


   

Question 212966: 1x+.5+3x-2=3x+1.5
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
1x+.5+3x-2=3x+1.5

The following steps will solve and simplifier the above equation

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


YOUR ANSWER


  • This is an equation! Solutions: x=3.
  • Graphical form: Equation 1x%2B.5%2B3x-2=3x%2B1.5 was fully solved.
  • Text form: 1x+.5+3x-2=3x+1.5 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+1x%2B.5%2B3x-2=3x%2B1.5+%29
    For tutors: simplify_cartoon( 1x+.5+3x-2=3x+1.5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+1+%29%2Ax%2B.5%2B3%2Ax-2=3x%2B1.5.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes x%2B.5%2B3%2Ax-2=3x%2B1.5.
Look at x%2Bhighlight_red%28+.5+%29%2B3%2Ax-highlight_red%28+2+%29=3x%2B1.5.
Replace constants in expression: highlight_red%28+.5+%29,highlight_red%28+-2+%29 with highlight_green%28+-1.5+%29
It becomes highlight_green%28+-1.5+%29%2Bx%2B3%2Ax=3x%2B1.5.
Look at highlight_red%28+-1.5+%29%2Bx%2B3%2Ax=3x%2B1.5.
Moved -1.5 to the right of expression
It becomes x%2B3%2Ax%2Bhighlight_green%28+-1.5+%29=3x%2B1.5.
Look at x%2B3%2Ax%2Bhighlight_red%28+-1.5+%29=3x%2B1.5.
Removed extra sign in front of -1.5
It becomes x%2B3%2Ax-highlight_green%28+1.5+%29=3x%2B1.5.
Look at highlight_red%28+x+%29%2Bhighlight_red%28+3%2Ax+%29-1.5=3x%2B1.5.
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+3%2Ax+%29 replacing them with highlight_green%28+%281%2B3%29%2Ax+%29
It becomes highlight_green%28+%281%2B3%29%2Ax+%29-1.5=3x%2B1.5.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+3+%29%29%2Ax-1.5=3x%2B1.5.
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Ax-1.5=3x%2B1.5.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29-1.5=3x%2B1.5.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Ax-1.5=3x%2B1.5.
Look at 4%2Ax-1.5=highlight_red%28+3%2Ax%2B1.5+%29.
Moved these terms to the left highlight_green%28+-3%2Ax+%29,highlight_green%28+-1.5+%29
It becomes 4%2Ax-1.5-highlight_green%28+3%2Ax+%29-highlight_green%28+1.5+%29=0.
Look at 4%2Ax-highlight_red%28+1.5+%29-3%2Ax-highlight_red%28+1.5+%29=0.
Added fractions or integers together
It becomes 4%2Ax-highlight_green%28+30%2F10+%29-3%2Ax=0.
Look at 4%2Ax-highlight_red%28+30%2F10+%29-3%2Ax=0.
Moved -30%2F10 to the right of expression
It becomes 4%2Ax-3%2Ax-highlight_green%28+30%2F10+%29=0.
Look at 4%2Ax-3%2Ax-highlight_red%28+30+%29%2Fhighlight_red%28+10+%29=0.
Factors 30 and 10 have greatest common factor (GCF) of 10. Reducing fraction.
It becomes 4%2Ax-3%2Ax-highlight_green%28+3+%29%2Fhighlight_green%28+1+%29=0.
Look at 4%2Ax-3%2Ax-3%2Fhighlight_red%28+1+%29=0.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 4%2Ax-3%2Ax-3=0.
Look at highlight_red%28+4%2Ax+%29-highlight_red%28+3%2Ax+%29-3=0.
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+-3%2Ax+%29 replacing them with highlight_green%28+%284-3%29%2Ax+%29
It becomes highlight_green%28+%284-3%29%2Ax+%29-3=0.
Look at highlight_red%28+%284-3%29+%29%2Ax-3=0.
Remove extraneous '1' from product highlight_red%28+%284-3%29+%29
It becomes x-3=0.
Look at highlight_red%28+x-3+%29=0.
Solved linear equation highlight_red%28+x-3=0+%29 equivalent to x-3 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=3.

Universal Simplifier and Solver


Done!



I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J