5t+6=-4t+42

Solution for 5t+6=-4t+42 equation:

Simplifying
5t + 6 = -4t + 42

Reorder the terms:
6 + 5t = -4t + 42

Reorder the terms:
6 + 5t = 42 + -4t

Solving
6 + 5t = 42 + -4t

Solving for variable 't'.

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

Add '4t' to each side of the equation.
6 + 5t + 4t = 42 + -4t + 4t

Combine like terms: 5t + 4t = 9t
6 + 9t = 42 + -4t + 4t

Combine like terms: -4t + 4t = 0
6 + 9t = 42 + 0
6 + 9t = 42

Add '-6' to each side of the equation.
6 + -6 + 9t = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 9t = 42 + -6
9t = 42 + -6

Combine like terms: 42 + -6 = 36
9t = 36

Divide each side by '9'.
t = 4

Simplifying
t = 4