00.2(6t-1)=0.12(t-4)+0.46

Solution for 00.2(6t-1)=0.12(t-4)+0.46 equation:

Simplifying
0.2(6t + -1) = 0.12(t + -4) + 0.46

Reorder the terms:
0.2(-1 + 6t) = 0.12(t + -4) + 0.46
(-1 * 0.2 + 6t * 0.2) = 0.12(t + -4) + 0.46
(-0.2 + 1.2t) = 0.12(t + -4) + 0.46

Reorder the terms:
-0.2 + 1.2t = 0.12(-4 + t) + 0.46
-0.2 + 1.2t = (-4 * 0.12 + t * 0.12) + 0.46
-0.2 + 1.2t = (-0.48 + 0.12t) + 0.46

Reorder the terms:
-0.2 + 1.2t = -0.48 + 0.46 + 0.12t

Combine like terms: -0.48 + 0.46 = -0.02
-0.2 + 1.2t = -0.02 + 0.12t

Solving
-0.2 + 1.2t = -0.02 + 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.
-0.2 + 1.2t + -0.12t = -0.02 + 0.12t + -0.12t

Combine like terms: 1.2t + -0.12t = 1.08t
-0.2 + 1.08t = -0.02 + 0.12t + -0.12t

Combine like terms: 0.12t + -0.12t = 0.00
-0.2 + 1.08t = -0.02 + 0.00
-0.2 + 1.08t = -0.02

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 1.08t = -0.02 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 1.08t = -0.02 + 0.2
1.08t = -0.02 + 0.2

Combine like terms: -0.02 + 0.2 = 0.18
1.08t = 0.18

Divide each side by '1.08'.
t = 0.1666666667

Simplifying
t = 0.1666666667