4t-6(t+1)=-5(2t-1)-5

Solution for 4t-6(t+1)=-5(2t-1)-5 equation:

Simplifying
4t + -6(t + 1) = -5(2t + -1) + -5

Reorder the terms:
4t + -6(1 + t) = -5(2t + -1) + -5
4t + (1 * -6 + t * -6) = -5(2t + -1) + -5
4t + (-6 + -6t) = -5(2t + -1) + -5

Reorder the terms:
-6 + 4t + -6t = -5(2t + -1) + -5

Combine like terms: 4t + -6t = -2t
-6 + -2t = -5(2t + -1) + -5

Reorder the terms:
-6 + -2t = -5(-1 + 2t) + -5
-6 + -2t = (-1 * -5 + 2t * -5) + -5
-6 + -2t = (5 + -10t) + -5

Reorder the terms:
-6 + -2t = 5 + -5 + -10t

Combine like terms: 5 + -5 = 0
-6 + -2t = 0 + -10t
-6 + -2t = -10t

Solving
-6 + -2t = -10t

Solving for variable 't'.

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

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

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

Combine like terms: -10t + 10t = 0
-6 + 8t = 0

Add '6' to each side of the equation.
-6 + 6 + 8t = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 8t = 0 + 6
8t = 0 + 6

Combine like terms: 0 + 6 = 6
8t = 6

Divide each side by '8'.
t = 0.75

Simplifying
t = 0.75