2(2+t)=3(3t-2)-25

Solution for 2(2+t)=3(3t-2)-25 equation:

Simplifying
2(2 + t) = 3(3t + -2) + -25
(2 * 2 + t * 2) = 3(3t + -2) + -25
(4 + 2t) = 3(3t + -2) + -25

Reorder the terms:
4 + 2t = 3(-2 + 3t) + -25
4 + 2t = (-2 * 3 + 3t * 3) + -25
4 + 2t = (-6 + 9t) + -25

Reorder the terms:
4 + 2t = -6 + -25 + 9t

Combine like terms: -6 + -25 = -31
4 + 2t = -31 + 9t

Solving
4 + 2t = -31 + 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.
4 + 2t + -9t = -31 + 9t + -9t

Combine like terms: 2t + -9t = -7t
4 + -7t = -31 + 9t + -9t

Combine like terms: 9t + -9t = 0
4 + -7t = -31 + 0
4 + -7t = -31

Add '-4' to each side of the equation.
4 + -4 + -7t = -31 + -4

Combine like terms: 4 + -4 = 0
0 + -7t = -31 + -4
-7t = -31 + -4

Combine like terms: -31 + -4 = -35
-7t = -35

Divide each side by '-7'.
t = 5

Simplifying
t = 5