12t-6(t+1)=4(2t-1)-3

Solution for 12t-6(t+1)=4(2t-1)-3 equation:

Simplifying
12t + -6(t + 1) = 4(2t + -1) + -3

Reorder the terms:
12t + -6(1 + t) = 4(2t + -1) + -3
12t + (1 * -6 + t * -6) = 4(2t + -1) + -3
12t + (-6 + -6t) = 4(2t + -1) + -3

Reorder the terms:
-6 + 12t + -6t = 4(2t + -1) + -3

Combine like terms: 12t + -6t = 6t
-6 + 6t = 4(2t + -1) + -3

Reorder the terms:
-6 + 6t = 4(-1 + 2t) + -3
-6 + 6t = (-1 * 4 + 2t * 4) + -3
-6 + 6t = (-4 + 8t) + -3

Reorder the terms:
-6 + 6t = -4 + -3 + 8t

Combine like terms: -4 + -3 = -7
-6 + 6t = -7 + 8t

Solving
-6 + 6t = -7 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
-6 + 6t + -8t = -7 + 8t + -8t

Combine like terms: 6t + -8t = -2t
-6 + -2t = -7 + 8t + -8t

Combine like terms: 8t + -8t = 0
-6 + -2t = -7 + 0
-6 + -2t = -7

Add '6' to each side of the equation.
-6 + 6 + -2t = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -2t = -7 + 6
-2t = -7 + 6

Combine like terms: -7 + 6 = -1
-2t = -1

Divide each side by '-2'.
t = 0.5

Simplifying
t = 0.5