3(1.5t-6.2)+0.5t=2(t-0.3)

Solution for 3(1.5t-6.2)+0.5t=2(t-0.3) equation:

Simplifying
3(1.5t + -6.2) + 0.5t = 2(t + -0.3)

Reorder the terms:
3(-6.2 + 1.5t) + 0.5t = 2(t + -0.3)
(-6.2 * 3 + 1.5t * 3) + 0.5t = 2(t + -0.3)
(-18.6 + 4.5t) + 0.5t = 2(t + -0.3)

Combine like terms: 4.5t + 0.5t = 5t
-18.6 + 5t = 2(t + -0.3)

Reorder the terms:
-18.6 + 5t = 2(-0.3 + t)
-18.6 + 5t = (-0.3 * 2 + t * 2)
-18.6 + 5t = (-0.6 + 2t)

Solving
-18.6 + 5t = -0.6 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-18.6 + 5t + -2t = -0.6 + 2t + -2t

Combine like terms: 5t + -2t = 3t
-18.6 + 3t = -0.6 + 2t + -2t

Combine like terms: 2t + -2t = 0
-18.6 + 3t = -0.6 + 0
-18.6 + 3t = -0.6

Add '18.6' to each side of the equation.
-18.6 + 18.6 + 3t = -0.6 + 18.6

Combine like terms: -18.6 + 18.6 = 0.0
0.0 + 3t = -0.6 + 18.6
3t = -0.6 + 18.6

Combine like terms: -0.6 + 18.6 = 18
3t = 18

Divide each side by '3'.
t = 6

Simplifying
t = 6