5t-3t+8+4t-2=42

Solution for 5t-3t+8+4t-2=42 equation:

Simplifying
5t + -3t + 8 + 4t + -2 = 42

Reorder the terms:
8 + -2 + 5t + -3t + 4t = 42

Combine like terms: 8 + -2 = 6
6 + 5t + -3t + 4t = 42

Combine like terms: 5t + -3t = 2t
6 + 2t + 4t = 42

Combine like terms: 2t + 4t = 6t
6 + 6t = 42

Solving
6 + 6t = 42

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + 6t = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 6t = 42 + -6
6t = 42 + -6

Combine like terms: 42 + -6 = 36
6t = 36

Divide each side by '6'.
t = 6

Simplifying
t = 6