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

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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)   (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 was fully solved.
  • Text form: 3*(t-8)+2t=7+t simplifies to 0=0
  • Cartoon (animation) form:
    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 .
Moved 7 to the right of expression
It becomes .

Look at .
Moved these terms to the left highlight_green%28+-t+%29,highlight_green%28+-7+%29
It becomes .

Look at .
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 .

Look at .
Remove extraneous '1' from product highlight_red%28+%282-1%29+%29
It becomes .

Look at .
Expanded term 3 by using associative property on %28t-8%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Moved -31 to the right of expression
It becomes .

Look at .
Removed extra sign in front of -31
It becomes .

Look at .
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 .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes .

Look at .
Solved linear equation highlight_red%28+4%2At-31=0+%29 equivalent to 4*t-31 =0
It becomes .
Result:
This is an equation! Solutions: t=7.75.

Universal Simplifier and Solver


Done!

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