SOLUTION: Solve and check. Label any contradictions or identities. 5(t+1)+8=3(t-2)+6

Algebra.Com
Question 586648: Solve and check. Label any contradictions or identities.
5(t+1)+8=3(t-2)+6
Answer by eschwartz(9)   (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=-6.5.
  • Graphical form: Equation was fully solved.
  • Text form: 5*(t+1)+8=3*(t-2)+6 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 5*(t+1)+8=3*(t-2)+6 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-3%2A%28t-2%29+%29,highlight_green%28+-6+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 2 to the right of expression
It becomes .
Look at .
Expanded term 5 by using associative property on %28t%2B1%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 7 to the right of expression
It becomes .
Look at .
Expanded term -3 by using associative property on %28t-2%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Eliminated similar terms highlight_red%28+5%2At+%29,highlight_red%28+-3%2At+%29 replacing them with highlight_green%28+%285-3%29%2At+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+2%2At%2B13=0+%29 equivalent to 2*t+13 =0
It becomes .
Result:
This is an equation! Solutions: t=-6.5.

Universal Simplifier and Solver


Done!
RELATED QUESTIONS

Solve and check. Label any contradictions or identities.... (answered by jim_thompson5910)
Label any contradictions or identities... (answered by solver91311)
Solve the equation and check the solution... (answered by jim_thompson5910)
solve the equation and check the solution... (answered by ReadingBoosters)
5(t+1)+8=... (answered by Blue_Skies,rfadrogane,MathLover1)
5(t+1)+8=3(t-2)+6 (answered by praseenakos@yahoo.com)
p: The house is owned by an engineer q: The heat is solar generated r: The car is run... (answered by stanbon)
Solve: 8/t+5 = t-3/t+5 +... (answered by ghali0079)
solve x^2-6x>-8 and 1/(t-5)<3/(t+5)... (answered by Nate)