1+2t-2t+1+3t=10

Solution for 1+2t-2t+1+3t=10 equation:

Simplifying
1 + 2t + -2t + 1 + 3t = 10

Reorder the terms:
1 + 1 + 2t + -2t + 3t = 10

Combine like terms: 1 + 1 = 2
2 + 2t + -2t + 3t = 10

Combine like terms: 2t + -2t = 0
2 + 0 + 3t = 10
2 + 3t = 10

Solving
2 + 3t = 10

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 + 3t = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 3t = 10 + -2
3t = 10 + -2

Combine like terms: 10 + -2 = 8
3t = 8

Divide each side by '3'.
t = 2.666666667

Simplifying
t = 2.666666667