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

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

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

Reorder the terms:
-3 + 5t = -2(t + -5)

Reorder the terms:
-3 + 5t = -2(-5 + t)
-3 + 5t = (-5 * -2 + t * -2)
-3 + 5t = (10 + -2t)

Solving
-3 + 5t = 10 + -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 + 5t + 2t = 10 + -2t + 2t

Combine like terms: 5t + 2t = 7t
-3 + 7t = 10 + -2t + 2t

Combine like terms: -2t + 2t = 0
-3 + 7t = 10 + 0
-3 + 7t = 10

Add '3' to each side of the equation.
-3 + 3 + 7t = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 7t = 10 + 3
7t = 10 + 3

Combine like terms: 10 + 3 = 13
7t = 13

Divide each side by '7'.
t = 1.857142857

Simplifying
t = 1.857142857