Solve the equation. 6(t+11)+8(t-19)

Question

mathstudent55 · Answer

An equation needs an equal sign. Is this an equation with some of it missing, or is this simply an expression that needs to be simplified?

anonymous · Answer

oh yes sorry 6(t+11)=8(t-19)

anonymous · Answer

14 t-86
just expand the given like:
6 t + 11*6+ 8t-8*19 
then add the varaibles alone then the constants

mathstudent55 · Answer

Use the distributive property on both sides to get rid of parenthses:
6(t+11)=8(t-19)
6t + 66 = 8t - 152
Can you do the next step?

anonymous · Answer

Not sure how to do the next step

mathstudent55 · Answer

Subtract 8t from both sides and subtract 66 from both sides. This will get all t's on left side and all numbers on right side.

mathstudent55 · Answer

6t   + 66 = 8t      - 152
-8t    - 66   -8t     - 66
-----------------------

mathstudent55 · Answer

6t - 8t = ?
66 - 66 = 0
8t - 8t = 0
-152 - 66 = ?

anonymous · Answer

is it 86?

anonymous · Answer

t=86

mathstudent55 · Answer

6t   + 66 = 8t      - 152
-8t    - 66   -8t     - 66
-----------------------
-2t            =         -218
Divide both sides by -2:
t = 109

anonymous · Answer

Hi Click the document :)

anonymous · Answer

oh ok i got it that makes sense thank you @mathstudent55 !

anonymous · Answer

Thank you @JUICEDECAFE

mathstudent55 · Answer

@marixoxo76 What is the correct answer?

anonymous · Answer

No Problem :)