0.33333(6+9t)=5t-20

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Solution for 0.33333(6+9t)=5t-20 equation: 


Simplifying
0.33333(6 + 9t) = 5t + -20
(6 * 0.33333 + 9t * 0.33333) = 5t + -20
(1.99998 + 2.99997t) = 5t + -20

Reorder the terms:
1.99998 + 2.99997t = -20 + 5t

Solving
1.99998 + 2.99997t = -20 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
1.99998 + 2.99997t + -5t = -20 + 5t + -5t

Combine like terms: 2.99997t + -5t = -2.00003t
1.99998 + -2.00003t = -20 + 5t + -5t

Combine like terms: 5t + -5t = 0
1.99998 + -2.00003t = -20 + 0
1.99998 + -2.00003t = -20

Add '-1.99998' to each side of the equation.
1.99998 + -1.99998 + -2.00003t = -20 + -1.99998

Combine like terms: 1.99998 + -1.99998 = 0.00000
0.00000 + -2.00003t = -20 + -1.99998
-2.00003t = -20 + -1.99998

Combine like terms: -20 + -1.99998 = -21.99998
-2.00003t = -21.99998

Divide each side by '-2.00003'.
t = 10.999825

Simplifying
t = 10.999825

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