SOLUTION: 3(t-8) + 2t = 7 + t can you help solve not sure if my answeris correct I came up with t= 31/4 or 7 and 3/4

Algebra ->  Linear-equations -> SOLUTION: 3(t-8) + 2t = 7 + t can you help solve not sure if my answeris correct I came up with t= 31/4 or 7 and 3/4       Log On


   

Question 8337: 3(t-8) + 2t = 7 + t can you help solve not sure if my answeris correct I came up with t= 31/4 or 7 and 3/4
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Looks like you got t right.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: t=7.75.
  • Graphical form: Equation 3%2A%28t-8%29%2B2t=7%2Bt was fully solved.
  • Text form: 3*(t-8)+2t=7+t simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3%2A%28t-8%29%2B2t=7%2Bt+%29
    For tutors: simplify_cartoon( 3*(t-8)+2t=7+t )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2A%28t-8%29%2B2%2At=highlight_red%28+7+%29%2Bt.
Moved 7 to the right of expression
It becomes 3%2A%28t-8%29%2B2%2At=t%2Bhighlight_green%28+7+%29.
Look at 3%2A%28t-8%29%2B2%2At=highlight_red%28+t%2B7+%29.
Moved these terms to the left highlight_green%28+-t+%29,highlight_green%28+-7+%29
It becomes 3%2A%28t-8%29%2B2%2At-highlight_green%28+t+%29-highlight_green%28+7+%29=0.
Look at 3%2A%28t-8%29%2Bhighlight_red%28+2%2At+%29-highlight_red%28+t+%29-7=0.
Eliminated similar terms highlight_red%28+2%2At+%29,highlight_red%28+-t+%29 replacing them with highlight_green%28+%282-1%29%2At+%29
It becomes 3%2A%28t-8%29%2Bhighlight_green%28+%282-1%29%2At+%29-7=0.
Look at 3%2A%28t-8%29%2Bhighlight_red%28+%282-1%29+%29%2At-7=0.
Remove extraneous '1' from product highlight_red%28+%282-1%29+%29
It becomes 3%2A%28t-8%29%2Bt-7=0.
Look at highlight_red%28+3%2A%28t-8%29+%29%2Bt-7=0.
Expanded term 3 by using associative property on %28t-8%29
It becomes highlight_green%28+3%2At+%29-highlight_green%28+3%2A8+%29%2Bt-7=0.
Look at 3%2At-highlight_red%28+3+%29%2Ahighlight_red%28+8+%29%2Bt-7=0.
Multiplied numerator integers
It becomes 3%2At-highlight_green%28+24+%29%2Bt-7=0.
Look at 3%2At-highlight_red%28+24+%29%2Bt-highlight_red%28+7+%29=0.
Added fractions or integers together
It becomes 3%2At%2Bhighlight_green%28+-31+%29%2Bt=0.
Look at 3%2At%2Bhighlight_red%28+-31+%29%2Bt=0.
Moved -31 to the right of expression
It becomes 3%2At%2Bt%2Bhighlight_green%28+-31+%29=0.
Look at 3%2At%2Bt%2Bhighlight_red%28+-31+%29=0.
Removed extra sign in front of -31
It becomes 3%2At%2Bt-highlight_green%28+31+%29=0.
Look at highlight_red%28+3%2At+%29%2Bhighlight_red%28+t+%29-31=0.
Eliminated similar terms highlight_red%28+3%2At+%29,highlight_red%28+t+%29 replacing them with highlight_green%28+%283%2B1%29%2At+%29
It becomes highlight_green%28+%283%2B1%29%2At+%29-31=0.
Look at %28highlight_red%28+3+%29%2Bhighlight_red%28+1+%29%29%2At-31=0.
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2At-31=0.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2At+%29-31=0.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2At-31=0.
Look at highlight_red%28+4%2At-31+%29=0.
Solved linear equation highlight_red%28+4%2At-31=0+%29 equivalent to 4*t-31 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: t=7.75.

Universal Simplifier and Solver


Done!