SOLUTION: when three times a number is subtracted from 45, the result is 5 plus the number. What is the number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: when three times a number is subtracted from 45, the result is 5 plus the number. What is the number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 607257: when three times a number is subtracted from 45, the result is 5 plus the number. What is the number?
Found 2 solutions by rfer, asuar010:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
45-3x=5+x
-4x=-40
x=-40/-4
x=10
-----------------

Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
this problem translates to 45-3x=5+x
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=10.
  • Graphical form: Equation 45-3x=5%2Bx was fully solved.
  • Text form: 45-3x=5+x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+45-3x=5%2Bx+%29
    For tutors: simplify_cartoon( 45-3x=5+x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+45+%29-3%2Ax=5%2Bx.
Moved 45 to the right of expression
It becomes -3%2Ax%2Bhighlight_green%28+45+%29=5%2Bx.
Look at -3%2Ax%2B45=highlight_red%28+5+%29%2Bx.
Moved 5 to the right of expression
It becomes -3%2Ax%2B45=x%2Bhighlight_green%28+5+%29.
Look at -3%2Ax%2B45=highlight_red%28+x%2B5+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-5+%29
It becomes -3%2Ax%2B45-highlight_green%28+x+%29-highlight_green%28+5+%29=0.
Look at -3%2Ax%2Bhighlight_red%28+45+%29-x-highlight_red%28+5+%29=0.
Added fractions or integers together
It becomes -3%2Ax%2Bhighlight_green%28+40+%29-x=0.
Look at -3%2Ax%2Bhighlight_red%28+40+%29-x=0.
Moved 40 to the right of expression
It becomes -3%2Ax-x%2Bhighlight_green%28+40+%29=0.
Look at -highlight_red%28+3%2Ax+%29-highlight_red%28+x+%29%2B40=0.
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%28-3-1%29%2Ax+%29
It becomes highlight_green%28+%28-3-1%29%2Ax+%29%2B40=0.
Look at %28-highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Ax%2B40=0.
Added fractions or integers together
It becomes %28highlight_green%28+-4+%29%29%2Ax%2B40=0.
Look at %28highlight_red%28+-4+%29%29%2Ax%2B40=0.
Removed extra sign in front of -4
It becomes %28-highlight_green%28+4+%29%29%2Ax%2B40=0.
Look at highlight_red%28+%28-highlight_red%28+4+%29%29%2Ax+%29%2B40=0.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes -highlight_green%28+4+%29%2Ax%2B40=0.
Look at highlight_red%28+-4%2Ax%2B40+%29=0.
Solved linear equation highlight_red%28+-4%2Ax%2B40=0+%29 equivalent to -4*x+40 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=10.

Universal Simplifier and Solver


Done!