6+2(t-2)=4(3t-14)

Solution for 6+2(t-2)=4(3t-14) equation:

Simplifying
6 + 2(t + -2) = 4(3t + -14)

Reorder the terms:
6 + 2(-2 + t) = 4(3t + -14)
6 + (-2 * 2 + t * 2) = 4(3t + -14)
6 + (-4 + 2t) = 4(3t + -14)

Combine like terms: 6 + -4 = 2
2 + 2t = 4(3t + -14)

Reorder the terms:
2 + 2t = 4(-14 + 3t)
2 + 2t = (-14 * 4 + 3t * 4)
2 + 2t = (-56 + 12t)

Solving
2 + 2t = -56 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
2 + 2t + -12t = -56 + 12t + -12t

Combine like terms: 2t + -12t = -10t
2 + -10t = -56 + 12t + -12t

Combine like terms: 12t + -12t = 0
2 + -10t = -56 + 0
2 + -10t = -56

Add '-2' to each side of the equation.
2 + -2 + -10t = -56 + -2

Combine like terms: 2 + -2 = 0
0 + -10t = -56 + -2
-10t = -56 + -2

Combine like terms: -56 + -2 = -58
-10t = -58

Divide each side by '-10'.
t = 5.8

Simplifying
t = 5.8