t-3(t+1.3)=2t+3

Solution for t-3(t+1.3)=2t+3 equation:

Simplifying
t + -3(t + 1.3) = 2t + 3

Reorder the terms:
t + -3(1.3 + t) = 2t + 3
t + (1.3 * -3 + t * -3) = 2t + 3
t + (-3.9 + -3t) = 2t + 3

Reorder the terms:
-3.9 + t + -3t = 2t + 3

Combine like terms: t + -3t = -2t
-3.9 + -2t = 2t + 3

Reorder the terms:
-3.9 + -2t = 3 + 2t

Solving
-3.9 + -2t = 3 + 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.
-3.9 + -2t + -2t = 3 + 2t + -2t

Combine like terms: -2t + -2t = -4t
-3.9 + -4t = 3 + 2t + -2t

Combine like terms: 2t + -2t = 0
-3.9 + -4t = 3 + 0
-3.9 + -4t = 3

Add '3.9' to each side of the equation.
-3.9 + 3.9 + -4t = 3 + 3.9

Combine like terms: -3.9 + 3.9 = 0.0
0.0 + -4t = 3 + 3.9
-4t = 3 + 3.9

Combine like terms: 3 + 3.9 = 6.9
-4t = 6.9

Divide each side by '-4'.
t = -1.725

Simplifying
t = -1.725