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

1 Answer
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