SOLUTION: how do u do -2/3(4x+5)=10

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Question 23407: how do u do -2/3(4x+5)=10
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • This is an equation! Solutions: x=-5.
  • Graphical form: Equation %28-2%2F3%29%2A%284x%2B5%29=10 was fully solved.
  • Text form: (-2/3)*(4x+5)=10 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%28-2%2F3%29%2A%284x%2B5%29=10+%29
    For tutors: simplify_cartoon( (-2/3)*(4x+5)=10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28-highlight_red%28+2%2F3+%29%29%2A%284%2Ax%2B5%29+%29=10.
Remove unneeded parentheses around factor highlight_red%28+2+%29,highlight_red%28+1%2F3+%29
It becomes -highlight_green%28+2+%29%2Fhighlight_green%28+3+%29%2A%284%2Ax%2B5%29=10.
Look at -2%2F3%2A%284%2Ax%2B5%29=highlight_red%28+10+%29.
Moved these terms to the left highlight_green%28+-10+%29
It becomes -2%2F3%2A%284%2Ax%2B5%29-highlight_green%28+10+%29=0.
Look at -highlight_red%28+2%2F3%2A%284%2Ax%2B5%29+%29-10=0.
Expanded term -2%2F3 by using associative property on %284%2Ax%2B5%29
It becomes -highlight_green%28+2%2F3%2A4%2Ax+%29-highlight_green%28+2%2F3%2A5+%29-10=0.
Look at -highlight_red%28+2+%29%2F3%2Ahighlight_red%28+4+%29%2Ax-2%2F3%2A5-10=0.
Multiplied numerator integers
It becomes -highlight_green%28+8+%29%2F3%2Ax-2%2F3%2A5-10=0.
Look at -8%2F3%2Ax-highlight_red%28+2+%29%2F3%2Ahighlight_red%28+5+%29-10=0.
Multiplied numerator integers
It becomes -8%2F3%2Ax-highlight_green%28+10+%29%2F3-10=0.
Look at -8%2F3%2Ax-highlight_red%28+10%2F3+%29-highlight_red%28+10+%29=0.
Added fractions or integers together
It becomes -8%2F3%2Ax-highlight_green%28+40%2F3+%29=0.
Look at highlight_red%28+-8%2F3%2Ax-40%2F3+%29=0.
Solved linear equation highlight_red%28+-8%2F3%2Ax-40%2F3=0+%29 equivalent to -2.66666666666667*x-13.3333333333333 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-5.

Universal Simplifier and Solver


Done!

Hope this helps!