2(t-2)+3(t+2)+4t=65

Solution for 2(t-2)+3(t+2)+4t=65 equation:

Simplifying
2(t + -2) + 3(t + 2) + 4t = 65

Reorder the terms:
2(-2 + t) + 3(t + 2) + 4t = 65
(-2 * 2 + t * 2) + 3(t + 2) + 4t = 65
(-4 + 2t) + 3(t + 2) + 4t = 65

Reorder the terms:
-4 + 2t + 3(2 + t) + 4t = 65
-4 + 2t + (2 * 3 + t * 3) + 4t = 65
-4 + 2t + (6 + 3t) + 4t = 65

Reorder the terms:
-4 + 6 + 2t + 3t + 4t = 65

Combine like terms: -4 + 6 = 2
2 + 2t + 3t + 4t = 65

Combine like terms: 2t + 3t = 5t
2 + 5t + 4t = 65

Combine like terms: 5t + 4t = 9t
2 + 9t = 65

Solving
2 + 9t = 65

Solving for variable 't'.

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

Add '-2' to each side of the equation.
2 + -2 + 9t = 65 + -2

Combine like terms: 2 + -2 = 0
0 + 9t = 65 + -2
9t = 65 + -2

Combine like terms: 65 + -2 = 63
9t = 63

Divide each side by '9'.
t = 7

Simplifying
t = 7