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

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

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

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

Reorder the terms:
6 + 4t + -3t = 2t + 6

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

Reorder the terms:
6 + 1t = 6 + 2t

Add '-6' to each side of the equation.
6 + -6 + 1t = 6 + -6 + 2t

Combine like terms: 6 + -6 = 0
0 + 1t = 6 + -6 + 2t
1t = 6 + -6 + 2t

Combine like terms: 6 + -6 = 0
1t = 0 + 2t
1t = 2t

Solving
1t = 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.
1t + -2t = 2t + -2t

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

Combine like terms: 2t + -2t = 0
-1t = 0

Divide each side by '-1'.
t = 0

Simplifying
t = 0