.33(t+4)=.20(t-5)

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Solution for .33(t+4)=.20(t-5) equation:


Simplifying
0.33(t + 4) = 0.20(t + -5)

Reorder the terms:
0.33(4 + t) = 0.20(t + -5)
(4 * 0.33 + t * 0.33) = 0.20(t + -5)
(1.32 + 0.33t) = 0.20(t + -5)

Reorder the terms:
1.32 + 0.33t = 0.20(-5 + t)
1.32 + 0.33t = (-5 * 0.20 + t * 0.20)
1.32 + 0.33t = (-1 + 0.20t)

Solving
1.32 + 0.33t = -1 + 0.20t

Solving for variable 't'.

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

Add '-0.20t' to each side of the equation.
1.32 + 0.33t + -0.20t = -1 + 0.20t + -0.20t

Combine like terms: 0.33t + -0.20t = 0.13t
1.32 + 0.13t = -1 + 0.20t + -0.20t

Combine like terms: 0.20t + -0.20t = 0.00
1.32 + 0.13t = -1 + 0.00
1.32 + 0.13t = -1

Add '-1.32' to each side of the equation.
1.32 + -1.32 + 0.13t = -1 + -1.32

Combine like terms: 1.32 + -1.32 = 0.00
0.00 + 0.13t = -1 + -1.32
0.13t = -1 + -1.32

Combine like terms: -1 + -1.32 = -2.32
0.13t = -2.32

Divide each side by '0.13'.
t = -17.84615385

Simplifying
t = -17.84615385

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