6t-3=-2(t+1)

Solution for 6t-3=-2(t+1) equation:

Simplifying
6t + -3 = -2(t + 1)

Reorder the terms:
-3 + 6t = -2(t + 1)

Reorder the terms:
-3 + 6t = -2(1 + t)
-3 + 6t = (1 * -2 + t * -2)
-3 + 6t = (-2 + -2t)

Solving
-3 + 6t = -2 + -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 + 6t + 2t = -2 + -2t + 2t

Combine like terms: 6t + 2t = 8t
-3 + 8t = -2 + -2t + 2t

Combine like terms: -2t + 2t = 0
-3 + 8t = -2 + 0
-3 + 8t = -2

Add '3' to each side of the equation.
-3 + 3 + 8t = -2 + 3

Combine like terms: -3 + 3 = 0
0 + 8t = -2 + 3
8t = -2 + 3

Combine like terms: -2 + 3 = 1
8t = 1

Divide each side by '8'.
t = 0.125

Simplifying
t = 0.125