4(t+2)=2t-6

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

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

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

Reorder the terms:
8 + 4t = -6 + 2t

Solving
8 + 4t = -6 + 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.
8 + 4t + -2t = -6 + 2t + -2t

Combine like terms: 4t + -2t = 2t
8 + 2t = -6 + 2t + -2t

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

Add '-8' to each side of the equation.
8 + -8 + 2t = -6 + -8

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

Combine like terms: -6 + -8 = -14
2t = -14

Divide each side by '2'.
t = -7

Simplifying
t = -7