-2(5t-2)+3t=2t-6

Solution for -2(5t-2)+3t=2t-6 equation:

Simplifying
-2(5t + -2) + 3t = 2t + -6

Reorder the terms:
-2(-2 + 5t) + 3t = 2t + -6
(-2 * -2 + 5t * -2) + 3t = 2t + -6
(4 + -10t) + 3t = 2t + -6

Combine like terms: -10t + 3t = -7t
4 + -7t = 2t + -6

Reorder the terms:
4 + -7t = -6 + 2t

Solving
4 + -7t = -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.
4 + -7t + -2t = -6 + 2t + -2t

Combine like terms: -7t + -2t = -9t
4 + -9t = -6 + 2t + -2t

Combine like terms: 2t + -2t = 0
4 + -9t = -6 + 0
4 + -9t = -6

Add '-4' to each side of the equation.
4 + -4 + -9t = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -9t = -6 + -4
-9t = -6 + -4

Combine like terms: -6 + -4 = -10
-9t = -10

Divide each side by '-9'.
t = 1.111111111

Simplifying
t = 1.111111111