.05(2t-1)-.03(4t-1)=0.2

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Solution for .05(2t-1)-.03(4t-1)=0.2 equation: 


Simplifying
0.05(2t + -1) + -0.03(4t + -1) = 0.2

Reorder the terms:
0.05(-1 + 2t) + -0.03(4t + -1) = 0.2
(-1 * 0.05 + 2t * 0.05) + -0.03(4t + -1) = 0.2
(-0.05 + 0.1t) + -0.03(4t + -1) = 0.2

Reorder the terms:
-0.05 + 0.1t + -0.03(-1 + 4t) = 0.2
-0.05 + 0.1t + (-1 * -0.03 + 4t * -0.03) = 0.2
-0.05 + 0.1t + (0.03 + -0.12t) = 0.2

Reorder the terms:
-0.05 + 0.03 + 0.1t + -0.12t = 0.2

Combine like terms: -0.05 + 0.03 = -0.02
-0.02 + 0.1t + -0.12t = 0.2

Combine like terms: 0.1t + -0.12t = -0.02t
-0.02 + -0.02t = 0.2

Solving
-0.02 + -0.02t = 0.2

Solving for variable 't'.

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

Add '0.02' to each side of the equation.
-0.02 + 0.02 + -0.02t = 0.2 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + -0.02t = 0.2 + 0.02
-0.02t = 0.2 + 0.02

Combine like terms: 0.2 + 0.02 = 0.22
-0.02t = 0.22

Divide each side by '-0.02'.
t = -11

Simplifying
t = -11

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