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

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

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

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

Combine like terms: t + 4t = 5t
2 + 5t = 3(3t + -2)

Reorder the terms:
2 + 5t = 3(-2 + 3t)
2 + 5t = (-2 * 3 + 3t * 3)
2 + 5t = (-6 + 9t)

Solving
2 + 5t = -6 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
2 + 5t + -9t = -6 + 9t + -9t

Combine like terms: 5t + -9t = -4t
2 + -4t = -6 + 9t + -9t

Combine like terms: 9t + -9t = 0
2 + -4t = -6 + 0
2 + -4t = -6

Add '-2' to each side of the equation.
2 + -2 + -4t = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -4t = -6 + -2
-4t = -6 + -2

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

Divide each side by '-4'.
t = 2

Simplifying
t = 2