2(2t+1)=3(t-2)

Solution for 2(2t+1)=3(t-2) equation:

Simplifying
2(2t + 1) = 3(t + -2)

Reorder the terms:
2(1 + 2t) = 3(t + -2)
(1 * 2 + 2t * 2) = 3(t + -2)
(2 + 4t) = 3(t + -2)

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

Solving
2 + 4t = -6 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
2 + 4t + -3t = -6 + 3t + -3t

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

Combine like terms: 3t + -3t = 0
2 + 1t = -6 + 0
2 + 1t = -6

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

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

Combine like terms: -6 + -2 = -8
1t = -8

Divide each side by '1'.
t = -8

Simplifying
t = -8