-5.3=6.2(t-6)-1.2(t-2)

Solution for -5.3=6.2(t-6)-1.2(t-2) equation:

Simplifying
-5.3 = 6.2(t + -6) + -1.2(t + -2)

Reorder the terms:
-5.3 = 6.2(-6 + t) + -1.2(t + -2)
-5.3 = (-6 * 6.2 + t * 6.2) + -1.2(t + -2)
-5.3 = (-37.2 + 6.2t) + -1.2(t + -2)

Reorder the terms:
-5.3 = -37.2 + 6.2t + -1.2(-2 + t)
-5.3 = -37.2 + 6.2t + (-2 * -1.2 + t * -1.2)
-5.3 = -37.2 + 6.2t + (2.4 + -1.2t)

Reorder the terms:
-5.3 = -37.2 + 2.4 + 6.2t + -1.2t

Combine like terms: -37.2 + 2.4 = -34.8
-5.3 = -34.8 + 6.2t + -1.2t

Combine like terms: 6.2t + -1.2t = 5t
-5.3 = -34.8 + 5t

Solving
-5.3 = -34.8 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-5.3 + -5t = -34.8 + 5t + -5t

Combine like terms: 5t + -5t = 0
-5.3 + -5t = -34.8 + 0
-5.3 + -5t = -34.8

Add '5.3' to each side of the equation.
-5.3 + 5.3 + -5t = -34.8 + 5.3

Combine like terms: -5.3 + 5.3 = 0.0
0.0 + -5t = -34.8 + 5.3
-5t = -34.8 + 5.3

Combine like terms: -34.8 + 5.3 = -29.5
-5t = -29.5

Divide each side by '-5'.
t = 5.9

Simplifying
t = 5.9