(.33333(t-1))+(.25(t+5))=.5

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Solution for (.33333(t-1))+(.25(t+5))=.5 equation: 


Simplifying
(0.33333(t + -1)) + (0.25(t + 5)) = 0.5

Reorder the terms:
(0.33333(-1 + t)) + (0.25(t + 5)) = 0.5
((-1 * 0.33333 + t * 0.33333)) + (0.25(t + 5)) = 0.5
((-0.33333 + 0.33333t)) + (0.25(t + 5)) = 0.5
(-0.33333 + 0.33333t) + (0.25(t + 5)) = 0.5

Remove parenthesis around (-0.33333 + 0.33333t)
-0.33333 + 0.33333t + (0.25(t + 5)) = 0.5

Reorder the terms:
-0.33333 + 0.33333t + (0.25(5 + t)) = 0.5
-0.33333 + 0.33333t + ((5 * 0.25 + t * 0.25)) = 0.5
-0.33333 + 0.33333t + ((1.25 + 0.25t)) = 0.5
-0.33333 + 0.33333t + (1.25 + 0.25t) = 0.5

Remove parenthesis around (1.25 + 0.25t)
-0.33333 + 0.33333t + 1.25 + 0.25t = 0.5

Reorder the terms:
-0.33333 + 1.25 + 0.33333t + 0.25t = 0.5

Combine like terms: -0.33333 + 1.25 = 0.91667
0.91667 + 0.33333t + 0.25t = 0.5

Combine like terms: 0.33333t + 0.25t = 0.58333t
0.91667 + 0.58333t = 0.5

Solving
0.91667 + 0.58333t = 0.5

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-0.91667' to each side of the equation.
0.91667 + -0.91667 + 0.58333t = 0.5 + -0.91667

Combine like terms: 0.91667 + -0.91667 = 0.00000
0.00000 + 0.58333t = 0.5 + -0.91667
0.58333t = 0.5 + -0.91667

Combine like terms: 0.5 + -0.91667 = -0.41667
0.58333t = -0.41667

Divide each side by '0.58333'.
t = -0.7142955103

Simplifying
t = -0.7142955103

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