2(t+2)+(5t-2)+3t=t

Solution for 2(t+2)+(5t-2)+3t=t equation:

Simplifying
2(t + 2) + (5t + -2) + 3t = t

Reorder the terms:
2(2 + t) + (5t + -2) + 3t = t
(2 * 2 + t * 2) + (5t + -2) + 3t = t
(4 + 2t) + (5t + -2) + 3t = t

Reorder the terms:
4 + 2t + (-2 + 5t) + 3t = t

Remove parenthesis around (-2 + 5t)
4 + 2t + -2 + 5t + 3t = t

Reorder the terms:
4 + -2 + 2t + 5t + 3t = t

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

Combine like terms: 2t + 5t = 7t
2 + 7t + 3t = t

Combine like terms: 7t + 3t = 10t
2 + 10t = t

Solving
2 + 10t = t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
2 + 10t + -1t = t + -1t

Combine like terms: 10t + -1t = 9t
2 + 9t = t + -1t

Combine like terms: t + -1t = 0
2 + 9t = 0

Add '-2' to each side of the equation.
2 + -2 + 9t = 0 + -2

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

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

Divide each side by '9'.
t = -0.2222222222

Simplifying
t = -0.2222222222