-2(t-5)+8t=4t-6

Solution for -2(t-5)+8t=4t-6 equation:

Simplifying
-2(t + -5) + 8t = 4t + -6

Reorder the terms:
-2(-5 + t) + 8t = 4t + -6
(-5 * -2 + t * -2) + 8t = 4t + -6
(10 + -2t) + 8t = 4t + -6

Combine like terms: -2t + 8t = 6t
10 + 6t = 4t + -6

Reorder the terms:
10 + 6t = -6 + 4t

Solving
10 + 6t = -6 + 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.
10 + 6t + -4t = -6 + 4t + -4t

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

Combine like terms: 4t + -4t = 0
10 + 2t = -6 + 0
10 + 2t = -6

Add '-10' to each side of the equation.
10 + -10 + 2t = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 2t = -6 + -10
2t = -6 + -10

Combine like terms: -6 + -10 = -16
2t = -16

Divide each side by '2'.
t = -8

Simplifying
t = -8