SOLUTION: 6(5t-3)+2=14

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Question 26310: 6(5t-3)+2=14
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


  • This is an equation! Solutions: t=1.
  • Graphical form: Equation 6%2A%285t-3%29%2B2=14 was fully solved.
  • Text form: 6*(5t-3)+2=14 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+6%2A%285t-3%29%2B2=14+%29
    For tutors: simplify_cartoon( 6*(5t-3)+2=14 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 6%2A%285%2At-3%29%2B2=highlight_red%28+14+%29.
Moved these terms to the left highlight_green%28+-14+%29
It becomes 6%2A%285%2At-3%29%2B2-highlight_green%28+14+%29=0.
Look at 6%2A%285%2At-3%29%2Bhighlight_red%28+2+%29-highlight_red%28+14+%29=0.
Added fractions or integers together
It becomes 6%2A%285%2At-3%29%2Bhighlight_green%28+-12+%29=0.
Look at 6%2A%285%2At-3%29%2Bhighlight_red%28+-12+%29=0.
Removed extra sign in front of -12
It becomes 6%2A%285%2At-3%29-highlight_green%28+12+%29=0.
Look at highlight_red%28+6%2A%285%2At-3%29+%29-12=0.
Expanded term 6 by using associative property on %285%2At-3%29
It becomes highlight_green%28+6%2A5%2At+%29-highlight_green%28+6%2A3+%29-12=0.
Look at highlight_red%28+6+%29%2Ahighlight_red%28+5+%29%2At-6%2A3-12=0.
Multiplied numerator integers
It becomes highlight_green%28+30+%29%2At-6%2A3-12=0.
Look at 30%2At-highlight_red%28+6+%29%2Ahighlight_red%28+3+%29-12=0.
Multiplied numerator integers
It becomes 30%2At-highlight_green%28+18+%29-12=0.
Look at 30%2At-highlight_red%28+18+%29-highlight_red%28+12+%29=0.
Added fractions or integers together
It becomes 30%2At%2Bhighlight_green%28+-30+%29=0.
Look at 30%2At%2Bhighlight_red%28+-30+%29=0.
Removed extra sign in front of -30
It becomes 30%2At-highlight_green%28+30+%29=0.
Look at highlight_red%28+30%2At-30+%29=0.
Solved linear equation highlight_red%28+30%2At-30=0+%29 equivalent to 30*t-30 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: t=1.

Universal Simplifier and Solver


Done!

Hope this helps!