How do you solve #t- \frac { 5} { 8} t + \frac { 3} { 5} = \frac { 3} { 5} ( t + \frac { 5} { 2} )#?

1 Answer
Lithia
Nov 3, 2016

#t=-4#

Explanation:

solve #t-5/8t+3/5=3/5(t+5/2)#
multiply everything by the LCD which is 40
#40(t-5/8t+3/5=3/5(t+5/2))#
#40t-25t+24=24(t+5/2)#
simplify and distribute parenthesis
#15t+24=24t+60#
solve for t
#15t-24t=60-24#
#-9t=36#
#t=-4#

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