-3(5t-2)+2t=4t-3

Solution for -3(5t-2)+2t=4t-3 equation:

Simplifying
-3(5t + -2) + 2t = 4t + -3

Reorder the terms:
-3(-2 + 5t) + 2t = 4t + -3
(-2 * -3 + 5t * -3) + 2t = 4t + -3
(6 + -15t) + 2t = 4t + -3

Combine like terms: -15t + 2t = -13t
6 + -13t = 4t + -3

Reorder the terms:
6 + -13t = -3 + 4t

Solving
6 + -13t = -3 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
6 + -13t + -4t = -3 + 4t + -4t

Combine like terms: -13t + -4t = -17t
6 + -17t = -3 + 4t + -4t

Combine like terms: 4t + -4t = 0
6 + -17t = -3 + 0
6 + -17t = -3

Add '-6' to each side of the equation.
6 + -6 + -17t = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -17t = -3 + -6
-17t = -3 + -6

Combine like terms: -3 + -6 = -9
-17t = -9

Divide each side by '-17'.
t = 0.5294117647

Simplifying
t = 0.5294117647