0.02(6t-3)=0.04(t+2)+0.02

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Solution for 0.02(6t-3)=0.04(t+2)+0.02 equation: 


Simplifying
0.02(6t + -3) = 0.04(t + 2) + 0.02

Reorder the terms:
0.02(-3 + 6t) = 0.04(t + 2) + 0.02
(-3 * 0.02 + 6t * 0.02) = 0.04(t + 2) + 0.02
(-0.06 + 0.12t) = 0.04(t + 2) + 0.02

Reorder the terms:
-0.06 + 0.12t = 0.04(2 + t) + 0.02
-0.06 + 0.12t = (2 * 0.04 + t * 0.04) + 0.02
-0.06 + 0.12t = (0.08 + 0.04t) + 0.02

Reorder the terms:
-0.06 + 0.12t = 0.08 + 0.02 + 0.04t

Combine like terms: 0.08 + 0.02 = 0.1
-0.06 + 0.12t = 0.1 + 0.04t

Solving
-0.06 + 0.12t = 0.1 + 0.04t

Solving for variable 't'.

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

Add '-0.04t' to each side of the equation.
-0.06 + 0.12t + -0.04t = 0.1 + 0.04t + -0.04t

Combine like terms: 0.12t + -0.04t = 0.08t
-0.06 + 0.08t = 0.1 + 0.04t + -0.04t

Combine like terms: 0.04t + -0.04t = 0.00
-0.06 + 0.08t = 0.1 + 0.00
-0.06 + 0.08t = 0.1

Add '0.06' to each side of the equation.
-0.06 + 0.06 + 0.08t = 0.1 + 0.06

Combine like terms: -0.06 + 0.06 = 0.00
0.00 + 0.08t = 0.1 + 0.06
0.08t = 0.1 + 0.06

Combine like terms: 0.1 + 0.06 = 0.16
0.08t = 0.16

Divide each side by '0.08'.
t = 2

Simplifying
t = 2

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