00.2(6t-3)=0.12(t-2)+0.18

Solution for 00.2(6t-3)=0.12(t-2)+0.18 equation:

Simplifying
0.2(6t + -3) = 0.12(t + -2) + 0.18

Reorder the terms:
0.2(-3 + 6t) = 0.12(t + -2) + 0.18
(-3 * 0.2 + 6t * 0.2) = 0.12(t + -2) + 0.18
(-0.6 + 1.2t) = 0.12(t + -2) + 0.18

Reorder the terms:
-0.6 + 1.2t = 0.12(-2 + t) + 0.18
-0.6 + 1.2t = (-2 * 0.12 + t * 0.12) + 0.18
-0.6 + 1.2t = (-0.24 + 0.12t) + 0.18

Reorder the terms:
-0.6 + 1.2t = -0.24 + 0.18 + 0.12t

Combine like terms: -0.24 + 0.18 = -0.06
-0.6 + 1.2t = -0.06 + 0.12t

Solving
-0.6 + 1.2t = -0.06 + 0.12t

Solving for variable 't'.

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

Add '-0.12t' to each side of the equation.
-0.6 + 1.2t + -0.12t = -0.06 + 0.12t + -0.12t

Combine like terms: 1.2t + -0.12t = 1.08t
-0.6 + 1.08t = -0.06 + 0.12t + -0.12t

Combine like terms: 0.12t + -0.12t = 0.00
-0.6 + 1.08t = -0.06 + 0.00
-0.6 + 1.08t = -0.06

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 1.08t = -0.06 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 1.08t = -0.06 + 0.6
1.08t = -0.06 + 0.6

Combine like terms: -0.06 + 0.6 = 0.54
1.08t = 0.54

Divide each side by '1.08'.
t = 0.5

Simplifying
t = 0.5