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

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

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

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

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

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

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

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

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

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

Solving
2t = t

Solving for variable 't'.

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

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

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

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

Divide each side by '1'.
t = 0

Simplifying
t = 0